Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/721,1310/9431
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 854,1310
Greatest Common Factor of Numerators i.e. GCF of 854,1310 is 2 .
LCM of Denominators means LCM of 721,9431 as per the given fractions.
LCM of 721,9431 is 6799751 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,1310
2 | 854, 1310 |
427, 655 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 1310
List of positive integer factors of 1310 that divides 1310 without a remainder.
1,2,5,10,131,262,655,1310
Greatest Common Factor
We found the factors 854,1310 . The biggest common factor number is the GCF number.
So the greatest common factor 854,1310 is 2.
Lets's calculate LCM of 721,9431
Given numbers has no common factors except 1. So, there LCM is their product i.e 6799751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6799751
Therefore, the GCF of Fractions 854/721,1310/9431 is 2/6799751
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 721,9431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,9431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,9431) x common factors =1 x 1 = 1
LCM(721,9431) = ( 721 × 9431 ) / 1
LCM(721,9431) = 6799751 / 1
LCM(721,9431) = 6799751
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 854/721, 1310/9431?
Answer: GCF of Numerators as per given numbers 854/721, 1310/9431 is
GCF of Numerators i.e. for 854,1310 is 2
LCM of denominators i.e. for 721,9431 is 6799751.
Thus, GCF of Fractions is 2/6799751.Finally, GCF of Fractions for 854/721, 1310/9431 is 2/6799751.