Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4971/54,7291/546
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 4971,7291
Greatest Common Factor of Numerators i.e. GCF of 4971,7291 is 1 .
LCM of Denominators means LCM of 54,546 as per the given fractions.
LCM of 54,546 is 4914 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4971,7291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1,3,1657,4971
Factors of 7291
List of positive integer factors of 7291 that divides 7291 without a remainder.
1,23,317,7291
Greatest Common Factor
We found the factors 4971,7291 . The biggest common factor number is the GCF number.
So the greatest common factor 4971,7291 is 1.
Lets's calculate LCM of 54,546
2 | 54, 546 |
3 | 27, 273 |
9, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 91 = 4914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4914
Therefore, the GCF of Fractions 4971/54,7291/546 is 1/4914
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 54,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,546) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(54,546) x common factors =6 x 1 = 6
LCM(54,546) = ( 54 × 546 ) / 6
LCM(54,546) = 29484 / 6
LCM(54,546) = 4914
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 4971/54, 7291/546?
Answer: GCF of Numerators as per given numbers 4971/54, 7291/546 is
GCF of Numerators i.e. for 4971,7291 is 1
LCM of denominators i.e. for 54,546 is 4914.
Thus, GCF of Fractions is 1/4914.Finally, GCF of Fractions for 4971/54, 7291/546 is 1/4914.