Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/58,92/54,852/976
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 62,92,852
Greatest Common Factor of Numerators i.e. GCF of 62,92,852 is 2 .
LCM of Denominators means LCM of 58,54,976 as per the given fractions.
LCM of 58,54,976 is 764208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,92,852
2 | 62, 92, 852 |
31, 46, 426 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
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 62,92,852 . The biggest common factor number is the GCF number.
So the greatest common factor 62,92,852 is 2.
Lets's calculate LCM of 58,54,976
2 | 58, 54, 976 |
29, 27, 488 |
∴ So the LCM of the given numbers is 2 x 29 x 27 x 488 = 764208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/764208
Therefore, the GCF of Fractions 62/58,92/54,852/976 is 2/764208
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 58,54,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,54,976) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,54,976) x common factors =2 x 2 = 4
LCM(58,54,976) = ( 58 × 54 × 976 ) / 4
LCM(58,54,976) = 3056832 / 4
LCM(58,54,976) = 764208
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 62/58, 92/54, 852/976?
Answer: GCF of Numerators as per given numbers 62/58, 92/54, 852/976 is
GCF of Numerators i.e. for 62,92,852 is 2
LCM of denominators i.e. for 58,54,976 is 764208.
Thus, GCF of Fractions is 2/764208.Finally, GCF of Fractions for 62/58, 92/54, 852/976 is 2/764208.