Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 971/123,5062/762
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 971,5062
Greatest Common Factor of Numerators i.e. GCF of 971,5062 is 1 .
LCM of Denominators means LCM of 123,762 as per the given fractions.
LCM of 123,762 is 31242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 971,5062
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 5062
List of positive integer factors of 5062 that divides 5062 without a remainder.
1,2,2531,5062
Greatest Common Factor
We found the factors 971,5062 . The biggest common factor number is the GCF number.
So the greatest common factor 971,5062 is 1.
Lets's calculate LCM of 123,762
3 | 123, 762 |
41, 254 |
∴ So the LCM of the given numbers is 3 x 41 x 254 = 31242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31242
Therefore, the GCF of Fractions 971/123,5062/762 is 1/31242
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 123,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,762) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,762) x common factors =3 x 1 = 3
LCM(123,762) = ( 123 × 762 ) / 3
LCM(123,762) = 93726 / 3
LCM(123,762) = 31242
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 971/123, 5062/762?
Answer: GCF of Numerators as per given numbers 971/123, 5062/762 is
GCF of Numerators i.e. for 971,5062 is 1
LCM of denominators i.e. for 123,762 is 31242.
Thus, GCF of Fractions is 1/31242.Finally, GCF of Fractions for 971/123, 5062/762 is 1/31242.