Greatest Common Factor of 5023/812, 5562/7628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5023/812, 5562/7628

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 5023/812,5562/7628

Given fractions are 5023/812,5562/7628

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 5023,5562

Greatest Common Factor of Numerators i.e. GCF of 5023,5562 is 1 .

LCM of Denominators means LCM of 812,7628 as per the given fractions.

LCM of 812,7628 is 1548484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5023,5562

GCF of Fractions 5023/812,5562/7628 is 1/1548484

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

Greatest Common Factor of 5023,5562 By Matching Biggest Common Factor Method

Greatest Common Factor of 5023,5562 By Matching Biggest Common Factor Method

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1,5023

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Greatest Common Factor

We found the factors 5023,5562 . The biggest common factor number is the GCF number.
So the greatest common factor 5023,5562 is 1.

Lets's calculate LCM of 812,7628

2 812, 7628
2 406, 3814
203, 1907

∴ So the LCM of the given numbers is 2 x 2 x 203 x 1907 = 1548484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1548484

Therefore, the GCF of Fractions 5023/812,5562/7628 is 1/1548484

Least Common Multiple of 812,7628 with GCF Formula

Least Common Multiple of 812,7628 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 812,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,7628) = 4

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

GCF(812,7628) x common factors =4 x 1 = 4

LCM(812,7628) = ( 812 × 7628 ) / 4

LCM(812,7628) = 6193936 / 4

LCM(812,7628) = 1548484


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 5023/812, 5562/7628

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 5023/812, 5562/7628?

Answer: GCF of Numerators as per given numbers 5023/812, 5562/7628 is

GCF of Numerators i.e. for 5023,5562 is 1

LCM of denominators i.e. for 812,7628 is 1548484.

Thus, GCF of Fractions is 1/1548484.Finally, GCF of Fractions for 5023/812, 5562/7628 is 1/1548484.