2006-10-29 04:02:14 · 8 answers · asked by rain rain rain 2 in Science & Mathematics ➔ Mathematics
Hi Dear Rain ;
■ Step 1
154 / 2 = 77 { 2 * 77 }
77 = 7 * 11 { 2 * 7 * 11}
so 154 = 2 * 7 * 11
■ Step 2
252 / 2 = 126 { 2 * 126 }
126 / 2 = 63 { 2 * 2 * 63 }
63 = 9 * 7 { 2 * 2 * 9 * 7 }
9 = 3 * 3 { 2 * 2 * 3 * 3 * 7 }
252 = 2 * 2 * 3 * 3 * 7
■ Step 3
154 = 2 * 7 * 11
252 = 2 * 2 * 3 * 3 * 7
the greatest common factor of 154 and 252 is 2 * 7 OR 14
all ppl are correct
Good Luck Darling ♣
2006-10-29 04:19:32 · answer #1 · answered by sweetie 5 · 6⤊ 0⤋
Do this by finding the prime factorization of 154 and 252, and comparing...
154=2*77=2*7*11
252=2*126=2*2*63=2*2*7*9=2*2*7*3*3
Comparing the two, we see that both have a two and a seven, so the greatest common factor of the two is 2*7=14
2006-10-29 04:07:09 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Factor 154 and you get 2*7*11
Factor 252 and you get 2*2*3*3*7
the common factors between the two are 2*7
so the greatest common factor is 2*7=14
2006-10-29 04:07:09 · answer #3 · answered by Aaron F 1 · 0⤊ 0⤋
154 / 2 = 77
77 / 7 = 11
11 / 11 = 1
- - - - - - - - -
252 / 2 = 126
126 / 2 = 63
63 / 3 = 21
21 / 3 = 7
7 / 7 = 1
154 = 2 x 7 x 11
252 = 2 x 2 x 3 x 3 x 7
The greatest common factor is 2 x 7 = 14
The greate4st common factor is 14
- - - - - s-
2006-10-29 04:46:09 · answer #4 · answered by SAMUEL D 7 · 0⤊ 0⤋
14
2006-10-29 04:17:25 · answer #5 · answered by Anonymous · 0⤊ 0⤋
14
2006-10-29 04:09:25 · answer #6 · answered by J 6 · 0⤊ 0⤋
14
2006-10-29 04:07:05 · answer #7 · answered by ssshhh 3 · 0⤊ 0⤋
prime factoring both the numbers
154/2=77/7=11/11=1
so 154=2*7*11
252/2=126/2=63/3=21/3=7/7=1
252=2^2*3^2*7
so the GCF=2*7=14
2006-10-29 04:12:58 · answer #8 · answered by raj 7 · 0⤊ 0⤋