Greatest Common Factor of 502/90, 958/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 502/90, 958/984

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 502/90,958/984

Given fractions are 502/90,958/984

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 502,958

Greatest Common Factor of Numerators i.e. GCF of 502,958 is 2 .

LCM of Denominators means LCM of 90,984 as per the given fractions.

LCM of 90,984 is 14760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 502,958

GCF of Fractions 502/90,958/984 is 2/14760

2 502, 958
251, 479

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 502,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,958 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 502,958 . The biggest common factor number is the GCF number.
So the greatest common factor 502,958 is 2.

Lets's calculate LCM of 90,984

2 90, 984
3 45, 492
15, 164

∴ So the LCM of the given numbers is 2 x 3 x 15 x 164 = 14760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14760

Therefore, the GCF of Fractions 502/90,958/984 is 2/14760

Least Common Multiple of 90,984 with GCF Formula

Least Common Multiple of 90,984 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 90,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,984) = 6

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

GCF(90,984) x common factors =6 x 1 = 6

LCM(90,984) = ( 90 × 984 ) / 6

LCM(90,984) = 88560 / 6

LCM(90,984) = 14760


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 502/90, 958/984

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 502/90, 958/984?

Answer: GCF of Numerators as per given numbers 502/90, 958/984 is

GCF of Numerators i.e. for 502,958 is 2

LCM of denominators i.e. for 90,984 is 14760.

Thus, GCF of Fractions is 2/14760.Finally, GCF of Fractions for 502/90, 958/984 is 2/14760.