Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2124/381,4971/7660
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 2124,4971
Greatest Common Factor of Numerators i.e. GCF of 2124,4971 is 3 .
LCM of Denominators means LCM of 381,7660 as per the given fractions.
LCM of 381,7660 is 2918460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2124,4971
3 | 2124, 4971 |
708, 1657 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2124
List of positive integer factors of 2124 that divides 2124 without a remainder.
1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1,3,1657,4971
Greatest Common Factor
We found the factors 2124,4971 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,4971 is 3.
Lets's calculate LCM of 381,7660
Given numbers has no common factors except 1. So, there LCM is their product i.e 2918460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2918460
Therefore, the GCF of Fractions 2124/381,4971/7660 is 3/2918460
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 381,7660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,7660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,7660) x common factors =1 x 1 = 1
LCM(381,7660) = ( 381 × 7660 ) / 1
LCM(381,7660) = 2918460 / 1
LCM(381,7660) = 2918460
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 2124/381, 4971/7660?
Answer: GCF of Numerators as per given numbers 2124/381, 4971/7660 is
GCF of Numerators i.e. for 2124,4971 is 3
LCM of denominators i.e. for 381,7660 is 2918460.
Thus, GCF of Fractions is 3/2918460.Finally, GCF of Fractions for 2124/381, 4971/7660 is 3/2918460.