Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/691,7628/959
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 970,7628
Greatest Common Factor of Numerators i.e. GCF of 970,7628 is 2 .
LCM of Denominators means LCM of 691,959 as per the given fractions.
LCM of 691,959 is 662669 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,7628
2 | 970, 7628 |
485, 3814 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 7628
List of positive integer factors of 7628 that divides 7628 without a remainder.
1,2,4,1907,3814,7628
Greatest Common Factor
We found the factors 970,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 970,7628 is 2.
Lets's calculate LCM of 691,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 662669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/662669
Therefore, the GCF of Fractions 970/691,7628/959 is 2/662669
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 691,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,959) x common factors =1 x 1 = 1
LCM(691,959) = ( 691 × 959 ) / 1
LCM(691,959) = 662669 / 1
LCM(691,959) = 662669
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 970/691, 7628/959?
Answer: GCF of Numerators as per given numbers 970/691, 7628/959 is
GCF of Numerators i.e. for 970,7628 is 2
LCM of denominators i.e. for 691,959 is 662669.
Thus, GCF of Fractions is 2/662669.Finally, GCF of Fractions for 970/691, 7628/959 is 2/662669.