Greatest Common Factor of 487/508, 7978/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 487/508, 7978/431

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 487/508,7978/431

Given fractions are 487/508,7978/431

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 487,7978

Greatest Common Factor of Numerators i.e. GCF of 487,7978 is 1 .

LCM of Denominators means LCM of 508,431 as per the given fractions.

LCM of 508,431 is 218948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 487,7978

GCF of Fractions 487/508,7978/431 is 1/218948

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 487,7978 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,7978 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Greatest Common Factor

We found the factors 487,7978 . The biggest common factor number is the GCF number.
So the greatest common factor 487,7978 is 1.

Lets's calculate LCM of 508,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 218948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218948

Therefore, the GCF of Fractions 487/508,7978/431 is 1/218948

Least Common Multiple of 508,431 with GCF Formula

Least Common Multiple of 508,431 with GCF Formula

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 508,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(508,431) x common factors =1 x 1 = 1

LCM(508,431) = ( 508 × 431 ) / 1

LCM(508,431) = 218948 / 1

LCM(508,431) = 218948


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 487/508, 7978/431

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 487/508, 7978/431?

Answer: GCF of Numerators as per given numbers 487/508, 7978/431 is

GCF of Numerators i.e. for 487,7978 is 1

LCM of denominators i.e. for 508,431 is 218948.

Thus, GCF of Fractions is 1/218948.Finally, GCF of Fractions for 487/508, 7978/431 is 1/218948.