Greatest Common Factor of 5624/508, 4826/9605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5624/508, 4826/9605

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 5624/508,4826/9605

Given fractions are 5624/508,4826/9605

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 5624,4826

Greatest Common Factor of Numerators i.e. GCF of 5624,4826 is 38 .

LCM of Denominators means LCM of 508,9605 as per the given fractions.

LCM of 508,9605 is 4879340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5624,4826

GCF of Fractions 5624/508,4826/9605 is 38/4879340

2 5624, 4826
19 2812, 2413
148, 127

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 5624,4826 By Matching Biggest Common Factor Method

Greatest Common Factor of 5624,4826 By Matching Biggest Common Factor Method

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1,2,19,38,127,254,2413,4826

Greatest Common Factor

We found the factors 5624,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 5624,4826 is 38.

Lets's calculate LCM of 508,9605

Given numbers has no common factors except 1. So, there LCM is their product i.e 4879340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/4879340

Therefore, the GCF of Fractions 5624/508,4826/9605 is 38/4879340

Least Common Multiple of 508,9605 with GCF Formula

Least Common Multiple of 508,9605 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 508,9605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,9605) = 1

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

GCF(508,9605) x common factors =1 x 1 = 1

LCM(508,9605) = ( 508 × 9605 ) / 1

LCM(508,9605) = 4879340 / 1

LCM(508,9605) = 4879340


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 5624/508, 4826/9605

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 5624/508, 4826/9605?

Answer: GCF of Numerators as per given numbers 5624/508, 4826/9605 is

GCF of Numerators i.e. for 5624,4826 is 38

LCM of denominators i.e. for 508,9605 is 4879340.

Thus, GCF of Fractions is 38/4879340.Finally, GCF of Fractions for 5624/508, 4826/9605 is 38/4879340.