gcf(126, 196, 378) = 14.
Using prime factorization:
126 = 2 x 3² x 7
196 = 2² x 7²
378 = 2 x 3³ x 7
hcf = 2 x 7 = 14
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The Greatest Common Factor (GCF) of 294 and 196 is 98.
To find the highest common factor (HCF) of 196 and 252, we first need to find the factors of each number. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, and 196. The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, and 252. The highest common factor of 196 and 252 is 28, as it is the greatest number that divides both 196 and 252 without leaving a remainder.
The same as the greatest common factor of 70 and 26 - where 26 is the remainder of the division (196 divided by 70). Continue dividing, to get ever-smaller numbers - until one of the numbers is a multiple of the other. When this happens, the smaller of the numbers is the greatest common factor. This method is called the Euclid algorithm.
I'm guessing you mean HCF. You need to find the different factors of each number and then find the biggest one that is common in all 3:126= 1 & 126, 196=1 & 196, 378=1 & 378, 2 & 63, 2 & 98, 2 & 189, 3 & 42, 4 & 49, 3 &126, 6 & 21, 7 & 28, 6 & 63, 7 & 18, 14 &14 7 & 54, 9 & 14 9 & 42, 14 & 27, 18 & 21 I believe that the highest common factor would be 14
It is: 4