Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8237/870,6152/2053
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 8237,6152
Greatest Common Factor of Numerators i.e. GCF of 8237,6152 is 1 .
LCM of Denominators means LCM of 870,2053 as per the given fractions.
LCM of 870,2053 is 1786110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8237,6152
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8237
List of positive integer factors of 8237 that divides 8237 without a remainder.
1,8237
Factors of 6152
List of positive integer factors of 6152 that divides 6152 without a remainder.
1,2,4,8,769,1538,3076,6152
Greatest Common Factor
We found the factors 8237,6152 . The biggest common factor number is the GCF number.
So the greatest common factor 8237,6152 is 1.
Lets's calculate LCM of 870,2053
Given numbers has no common factors except 1. So, there LCM is their product i.e 1786110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1786110
Therefore, the GCF of Fractions 8237/870,6152/2053 is 1/1786110
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 870,2053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,2053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(870,2053) x common factors =1 x 1 = 1
LCM(870,2053) = ( 870 × 2053 ) / 1
LCM(870,2053) = 1786110 / 1
LCM(870,2053) = 1786110
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 8237/870, 6152/2053?
Answer: GCF of Numerators as per given numbers 8237/870, 6152/2053 is
GCF of Numerators i.e. for 8237,6152 is 1
LCM of denominators i.e. for 870,2053 is 1786110.
Thus, GCF of Fractions is 1/1786110.Finally, GCF of Fractions for 8237/870, 6152/2053 is 1/1786110.