Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/971,7031/8491
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 338,7031
Greatest Common Factor of Numerators i.e. GCF of 338,7031 is 1 .
LCM of Denominators means LCM of 971,8491 as per the given fractions.
LCM of 971,8491 is 8244761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,7031
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 7031
List of positive integer factors of 7031 that divides 7031 without a remainder.
1,79,89,7031
Greatest Common Factor
We found the factors 338,7031 . The biggest common factor number is the GCF number.
So the greatest common factor 338,7031 is 1.
Lets's calculate LCM of 971,8491
Given numbers has no common factors except 1. So, there LCM is their product i.e 8244761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8244761
Therefore, the GCF of Fractions 338/971,7031/8491 is 1/8244761
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 971,8491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,8491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,8491) x common factors =1 x 1 = 1
LCM(971,8491) = ( 971 × 8491 ) / 1
LCM(971,8491) = 8244761 / 1
LCM(971,8491) = 8244761
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 338/971, 7031/8491?
Answer: GCF of Numerators as per given numbers 338/971, 7031/8491 is
GCF of Numerators i.e. for 338,7031 is 1
LCM of denominators i.e. for 971,8491 is 8244761.
Thus, GCF of Fractions is 1/8244761.Finally, GCF of Fractions for 338/971, 7031/8491 is 1/8244761.