Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9692/59,7618/122
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 9692,7618
Greatest Common Factor of Numerators i.e. GCF of 9692,7618 is 2 .
LCM of Denominators means LCM of 59,122 as per the given fractions.
LCM of 59,122 is 7198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9692,7618
2 | 9692, 7618 |
4846, 3809 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9692
List of positive integer factors of 9692 that divides 9692 without a remainder.
1,2,4,2423,4846,9692
Factors of 7618
List of positive integer factors of 7618 that divides 7618 without a remainder.
1,2,13,26,293,586,3809,7618
Greatest Common Factor
We found the factors 9692,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 9692,7618 is 2.
Lets's calculate LCM of 59,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 7198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7198
Therefore, the GCF of Fractions 9692/59,7618/122 is 2/7198
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 59,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,122) x common factors =1 x 1 = 1
LCM(59,122) = ( 59 × 122 ) / 1
LCM(59,122) = 7198 / 1
LCM(59,122) = 7198
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 9692/59, 7618/122?
Answer: GCF of Numerators as per given numbers 9692/59, 7618/122 is
GCF of Numerators i.e. for 9692,7618 is 2
LCM of denominators i.e. for 59,122 is 7198.
Thus, GCF of Fractions is 2/7198.Finally, GCF of Fractions for 9692/59, 7618/122 is 2/7198.