Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2652/82,6922/818
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 2652,6922
Greatest Common Factor of Numerators i.e. GCF of 2652,6922 is 2 .
LCM of Denominators means LCM of 82,818 as per the given fractions.
LCM of 82,818 is 33538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2652,6922
2 | 2652, 6922 |
1326, 3461 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2652
List of positive integer factors of 2652 that divides 2652 without a remainder.
1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Factors of 6922
List of positive integer factors of 6922 that divides 6922 without a remainder.
1,2,3461,6922
Greatest Common Factor
We found the factors 2652,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,6922 is 2.
Lets's calculate LCM of 82,818
2 | 82, 818 |
41, 409 |
∴ So the LCM of the given numbers is 2 x 41 x 409 = 33538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33538
Therefore, the GCF of Fractions 2652/82,6922/818 is 2/33538
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 82,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,818) x common factors =2 x 1 = 2
LCM(82,818) = ( 82 × 818 ) / 2
LCM(82,818) = 67076 / 2
LCM(82,818) = 33538
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 2652/82, 6922/818?
Answer: GCF of Numerators as per given numbers 2652/82, 6922/818 is
GCF of Numerators i.e. for 2652,6922 is 2
LCM of denominators i.e. for 82,818 is 33538.
Thus, GCF of Fractions is 2/33538.Finally, GCF of Fractions for 2652/82, 6922/818 is 2/33538.