Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 126/21,7888/119
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 126,7888
Greatest Common Factor of Numerators i.e. GCF of 126,7888 is 2 .
LCM of Denominators means LCM of 21,119 as per the given fractions.
LCM of 21,119 is 357 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 126,7888
2 | 126, 7888 |
63, 3944 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 7888
List of positive integer factors of 7888 that divides 7888 without a remainder.
1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Greatest Common Factor
We found the factors 126,7888 . The biggest common factor number is the GCF number.
So the greatest common factor 126,7888 is 2.
Lets's calculate LCM of 21,119
7 | 21, 119 |
3, 17 |
∴ So the LCM of the given numbers is 7 x 3 x 17 = 357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/357
Therefore, the GCF of Fractions 126/21,7888/119 is 2/357
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 21,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,119) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(21,119) x common factors =7 x 1 = 7
LCM(21,119) = ( 21 × 119 ) / 7
LCM(21,119) = 2499 / 7
LCM(21,119) = 357
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 126/21, 7888/119?
Answer: GCF of Numerators as per given numbers 126/21, 7888/119 is
GCF of Numerators i.e. for 126,7888 is 2
LCM of denominators i.e. for 21,119 is 357.
Thus, GCF of Fractions is 2/357.Finally, GCF of Fractions for 126/21, 7888/119 is 2/357.