Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8521/107,4708/5131
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 8521,4708
Greatest Common Factor of Numerators i.e. GCF of 8521,4708 is 1 .
LCM of Denominators means LCM of 107,5131 as per the given fractions.
LCM of 107,5131 is 549017 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8521,4708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8521
List of positive integer factors of 8521 that divides 8521 without a remainder.
1,8521
Factors of 4708
List of positive integer factors of 4708 that divides 4708 without a remainder.
1,2,4,11,22,44,107,214,428,1177,2354,4708
Greatest Common Factor
We found the factors 8521,4708 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,4708 is 1.
Lets's calculate LCM of 107,5131
Given numbers has no common factors except 1. So, there LCM is their product i.e 549017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/549017
Therefore, the GCF of Fractions 8521/107,4708/5131 is 1/549017
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 107,5131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,5131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,5131) x common factors =1 x 1 = 1
LCM(107,5131) = ( 107 × 5131 ) / 1
LCM(107,5131) = 549017 / 1
LCM(107,5131) = 549017
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 8521/107, 4708/5131?
Answer: GCF of Numerators as per given numbers 8521/107, 4708/5131 is
GCF of Numerators i.e. for 8521,4708 is 1
LCM of denominators i.e. for 107,5131 is 549017.
Thus, GCF of Fractions is 1/549017.Finally, GCF of Fractions for 8521/107, 4708/5131 is 1/549017.