Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6959/147,2670/6396
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 6959,2670
Greatest Common Factor of Numerators i.e. GCF of 6959,2670 is 1 .
LCM of Denominators means LCM of 147,6396 as per the given fractions.
LCM of 147,6396 is 313404 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6959,2670
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6959
List of positive integer factors of 6959 that divides 6959 without a remainder.
1,6959
Factors of 2670
List of positive integer factors of 2670 that divides 2670 without a remainder.
1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Greatest Common Factor
We found the factors 6959,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 6959,2670 is 1.
Lets's calculate LCM of 147,6396
3 | 147, 6396 |
49, 2132 |
∴ So the LCM of the given numbers is 3 x 49 x 2132 = 313404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313404
Therefore, the GCF of Fractions 6959/147,2670/6396 is 1/313404
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 147,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,6396) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,6396) x common factors =3 x 1 = 3
LCM(147,6396) = ( 147 × 6396 ) / 3
LCM(147,6396) = 940212 / 3
LCM(147,6396) = 313404
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 6959/147, 2670/6396?
Answer: GCF of Numerators as per given numbers 6959/147, 2670/6396 is
GCF of Numerators i.e. for 6959,2670 is 1
LCM of denominators i.e. for 147,6396 is 313404.
Thus, GCF of Fractions is 1/313404.Finally, GCF of Fractions for 6959/147, 2670/6396 is 1/313404.