Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8152/137,9621/5439
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 8152,9621
Greatest Common Factor of Numerators i.e. GCF of 8152,9621 is 1 .
LCM of Denominators means LCM of 137,5439 as per the given fractions.
LCM of 137,5439 is 745143 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8152,9621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8152
List of positive integer factors of 8152 that divides 8152 without a remainder.
1,2,4,8,1019,2038,4076,8152
Factors of 9621
List of positive integer factors of 9621 that divides 9621 without a remainder.
1,3,9,1069,3207,9621
Greatest Common Factor
We found the factors 8152,9621 . The biggest common factor number is the GCF number.
So the greatest common factor 8152,9621 is 1.
Lets's calculate LCM of 137,5439
Given numbers has no common factors except 1. So, there LCM is their product i.e 745143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/745143
Therefore, the GCF of Fractions 8152/137,9621/5439 is 1/745143
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 137,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,5439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,5439) x common factors =1 x 1 = 1
LCM(137,5439) = ( 137 × 5439 ) / 1
LCM(137,5439) = 745143 / 1
LCM(137,5439) = 745143
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 8152/137, 9621/5439?
Answer: GCF of Numerators as per given numbers 8152/137, 9621/5439 is
GCF of Numerators i.e. for 8152,9621 is 1
LCM of denominators i.e. for 137,5439 is 745143.
Thus, GCF of Fractions is 1/745143.Finally, GCF of Fractions for 8152/137, 9621/5439 is 1/745143.