Greatest Common Factor of 7464/62, 5110/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7464/62, 5110/797

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 7464/62,5110/797

Given fractions are 7464/62,5110/797

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 7464,5110

Greatest Common Factor of Numerators i.e. GCF of 7464,5110 is 2 .

LCM of Denominators means LCM of 62,797 as per the given fractions.

LCM of 62,797 is 49414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7464,5110

GCF of Fractions 7464/62,5110/797 is 2/49414

2 7464, 5110
3732, 2555

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

Greatest Common Factor of 7464,5110 By Matching Biggest Common Factor Method

Greatest Common Factor of 7464,5110 By Matching Biggest Common Factor Method

Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464

Factors of 5110

List of positive integer factors of 5110 that divides 5110 without a remainder.

1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110

Greatest Common Factor

We found the factors 7464,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 7464,5110 is 2.

Lets's calculate LCM of 62,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 49414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49414

Therefore, the GCF of Fractions 7464/62,5110/797 is 2/49414

Least Common Multiple of 62,797 with GCF Formula

Least Common Multiple of 62,797 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 62,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,797) = 1

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

GCF(62,797) x common factors =1 x 1 = 1

LCM(62,797) = ( 62 × 797 ) / 1

LCM(62,797) = 49414 / 1

LCM(62,797) = 49414


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 7464/62, 5110/797

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 7464/62, 5110/797?

Answer: GCF of Numerators as per given numbers 7464/62, 5110/797 is

GCF of Numerators i.e. for 7464,5110 is 2

LCM of denominators i.e. for 62,797 is 49414.

Thus, GCF of Fractions is 2/49414.Finally, GCF of Fractions for 7464/62, 5110/797 is 2/49414.