Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/134,5676/613
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 935,5676
Greatest Common Factor of Numerators i.e. GCF of 935,5676 is 11 .
LCM of Denominators means LCM of 134,613 as per the given fractions.
LCM of 134,613 is 82142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,5676
11 | 935, 5676 |
85, 516 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 5676
List of positive integer factors of 5676 that divides 5676 without a remainder.
1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676
Greatest Common Factor
We found the factors 935,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 935,5676 is 11.
Lets's calculate LCM of 134,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 82142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/82142
Therefore, the GCF of Fractions 935/134,5676/613 is 11/82142
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 134,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,613) x common factors =1 x 1 = 1
LCM(134,613) = ( 134 × 613 ) / 1
LCM(134,613) = 82142 / 1
LCM(134,613) = 82142
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 935/134, 5676/613?
Answer: GCF of Numerators as per given numbers 935/134, 5676/613 is
GCF of Numerators i.e. for 935,5676 is 11
LCM of denominators i.e. for 134,613 is 82142.
Thus, GCF of Fractions is 11/82142.Finally, GCF of Fractions for 935/134, 5676/613 is 11/82142.