Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/77,314/634
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 157,314
Greatest Common Factor of Numerators i.e. GCF of 157,314 is 157 .
LCM of Denominators means LCM of 77,634 as per the given fractions.
LCM of 77,634 is 48818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 157,314
157 | 157, 314 |
1, 2 |
∴ So the GCF of the given numbers is 157 = 157
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 157,314 . The biggest common factor number is the GCF number.
So the greatest common factor 157,314 is 157.
Lets's calculate LCM of 77,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 48818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 157/48818
Therefore, the GCF of Fractions 157/77,314/634 is 157/48818
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 77,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,634) x common factors =1 x 1 = 1
LCM(77,634) = ( 77 × 634 ) / 1
LCM(77,634) = 48818 / 1
LCM(77,634) = 48818
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 157/77, 314/634?
Answer: GCF of Numerators as per given numbers 157/77, 314/634 is
GCF of Numerators i.e. for 157,314 is 157
LCM of denominators i.e. for 77,634 is 48818.
Thus, GCF of Fractions is 157/48818.Finally, GCF of Fractions for 157/77, 314/634 is 157/48818.