Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/77,524/14,852/139
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 56,524,852
Greatest Common Factor of Numerators i.e. GCF of 56,524,852 is 4 .
LCM of Denominators means LCM of 77,14,139 as per the given fractions.
LCM of 77,14,139 is 21406 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,524,852
2 | 56, 524, 852 |
2 | 28, 262, 426 |
14, 131, 213 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 56,524,852 . The biggest common factor number is the GCF number.
So the greatest common factor 56,524,852 is 4.
Lets's calculate LCM of 77,14,139
7 | 77, 14, 139 |
11, 2, 139 |
∴ So the LCM of the given numbers is 7 x 11 x 2 x 139 = 21406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/21406
Therefore, the GCF of Fractions 56/77,524/14,852/139 is 4/21406
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 77,14,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,14,139) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(77,14,139) x common factors =1 x 7 = 7
LCM(77,14,139) = ( 77 × 14 × 139 ) / 7
LCM(77,14,139) = 149842 / 7
LCM(77,14,139) = 21406
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 56/77, 524/14, 852/139?
Answer: GCF of Numerators as per given numbers 56/77, 524/14, 852/139 is
GCF of Numerators i.e. for 56,524,852 is 4
LCM of denominators i.e. for 77,14,139 is 21406.
Thus, GCF of Fractions is 4/21406.Finally, GCF of Fractions for 56/77, 524/14, 852/139 is 4/21406.