Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2527/43,3250/876
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 2527,3250
Greatest Common Factor of Numerators i.e. GCF of 2527,3250 is 1 .
LCM of Denominators means LCM of 43,876 as per the given fractions.
LCM of 43,876 is 37668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2527,3250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2527
List of positive integer factors of 2527 that divides 2527 without a remainder.
1,7,19,133,361,2527
Factors of 3250
List of positive integer factors of 3250 that divides 3250 without a remainder.
1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Greatest Common Factor
We found the factors 2527,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,3250 is 1.
Lets's calculate LCM of 43,876
Given numbers has no common factors except 1. So, there LCM is their product i.e 37668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37668
Therefore, the GCF of Fractions 2527/43,3250/876 is 1/37668
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 43,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,876) x common factors =1 x 1 = 1
LCM(43,876) = ( 43 × 876 ) / 1
LCM(43,876) = 37668 / 1
LCM(43,876) = 37668
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 2527/43, 3250/876?
Answer: GCF of Numerators as per given numbers 2527/43, 3250/876 is
GCF of Numerators i.e. for 2527,3250 is 1
LCM of denominators i.e. for 43,876 is 37668.
Thus, GCF of Fractions is 1/37668.Finally, GCF of Fractions for 2527/43, 3250/876 is 1/37668.