Greatest common factor - GCF 4 .2 Vocabulary Greatest Common Factor (GCF …lhundrup.weebly.com/uploads/1/5/2/1/15213172/4.2_gcf.pdf · 2019. 11. 8. · Top ofPage Method2 - Factor
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Greatest common factor - GCF4 .2
VocabularyCommon Factor - Acommon factor is awhole numberthat is a factor of two or more non -zeroWholenumbersGreatest Common Factor (GCF )- the greatest wholenumber that is a factor of two or more non -zerowhole numberRelatively Prime - Two or morenumbers are relativelyprime if their greatest common factoris 1
Ex' Finding the GCF
Ahigh school asks forvolunteers to help deanUp local highways on one Saturday .each month .The group of volunteers has27 freshman, 18sophomores,36 juniors 45 seniors .What isthe greatest # of groups thatcan be formedif each group has the same number of eachtype of student? How many freshman,sophomore,juniors,andseniors will be in each group? '
Method 1 : Factor Ts
- 27 o 451127
39" 31IS2 . 11813 /12 go
Toto
agroupsw / 3 freshman 2 sopomores 4 junior 5 seniors
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Method2 - Factor trees
. 9 3 6 3 9 4 Is 3end
3 3 3 3 22. s .
Dr[27 3 .3 .3 in common : 3 .3 = q* I off12 .3 .3(36 2 .2 .3 .3 27 +9 =3 freshman18 + 9 =2 sophomores45 3 3 .5 36-94 juniors45 + 9=5 seniorsYour turnFind the greatest common factor of54 and 81 - 54 &-54 . El 6 4. a 9.
RI 3 I NA3 2 3 3 3 3 3 3
54 2 .3 .3 .3 3 .3 .3 = 67813 .3.3 .3Lame
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Ex² Identity ing relatively primeFind the greatestcommon factor of thenumbersThen tet ! Whether the numbers are relativelyprime.1) 28,63
- 28 Ism
22 . 3
GCF is28 : 2 .2 . 663 : 3 .3 . 0
2 )42,55- 42 7 - not relativelyi prime
55
76
3
42 :2 ,3 ,755 :5 .11 no common factors (otherthan 1)RELATIVELY RIME
Your Turn.3 ) .30,49
V :30 . 49 4 ).52 , 18
52 70
2 :26 . 23977
natrelativelyprime. 10 3
52 . 30:2,3,5/649: 7,7 l . 13 2 .52: 2 .2 . 1378 0.3 13 3 13 h2.13 :26)
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Ex³ Finding the GCF of monomials
Find the greatest common factor
16x2y å26x²y3
16 x² y 26x²y3
B 13 2
22222 2 0.0 2 13.(*.( VYYGCF :2x²y
Your Turn :- 12x3 18x² 40xy² 24ky
12x3 18x2 40x y3 .. .24 y y
6 362 2 20
2 3 2 10 . 32 22
25.32
(2.2. Arx 2.33 2.0
2 .3.x26x² (2.0.0 stbyyy2 -2-2:3. 6.
2 .2.2 % y8xy
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