Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7861/868,9965/7223
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 7861,9965
Greatest Common Factor of Numerators i.e. GCF of 7861,9965 is 1 .
LCM of Denominators means LCM of 868,7223 as per the given fractions.
LCM of 868,7223 is 202244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7861,9965
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7861
List of positive integer factors of 7861 that divides 7861 without a remainder.
1,7,1123,7861
Factors of 9965
List of positive integer factors of 9965 that divides 9965 without a remainder.
1,5,1993,9965
Greatest Common Factor
We found the factors 7861,9965 . The biggest common factor number is the GCF number.
So the greatest common factor 7861,9965 is 1.
Lets's calculate LCM of 868,7223
31 | 868, 7223 |
28, 233 |
∴ So the LCM of the given numbers is 31 x 28 x 233 = 202244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202244
Therefore, the GCF of Fractions 7861/868,9965/7223 is 1/202244
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 868,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,7223) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(868,7223) x common factors =31 x 1 = 31
LCM(868,7223) = ( 868 × 7223 ) / 31
LCM(868,7223) = 6269564 / 31
LCM(868,7223) = 202244
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 7861/868, 9965/7223?
Answer: GCF of Numerators as per given numbers 7861/868, 9965/7223 is
GCF of Numerators i.e. for 7861,9965 is 1
LCM of denominators i.e. for 868,7223 is 202244.
Thus, GCF of Fractions is 1/202244.Finally, GCF of Fractions for 7861/868, 9965/7223 is 1/202244.