Greatest Common Factor of 5753/922, 3563/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5753/922, 3563/398

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 5753/922,3563/398

Given fractions are 5753/922,3563/398

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 5753,3563

Greatest Common Factor of Numerators i.e. GCF of 5753,3563 is 1 .

LCM of Denominators means LCM of 922,398 as per the given fractions.

LCM of 922,398 is 183478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5753,3563

GCF of Fractions 5753/922,3563/398 is 1/183478

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

Greatest Common Factor of 5753,3563 By Matching Biggest Common Factor Method

Greatest Common Factor of 5753,3563 By Matching Biggest Common Factor Method

Factors of 5753

List of positive integer factors of 5753 that divides 5753 without a remainder.

1,11,523,5753

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Greatest Common Factor

We found the factors 5753,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 5753,3563 is 1.

Lets's calculate LCM of 922,398

2 922, 398
461, 199

∴ So the LCM of the given numbers is 2 x 461 x 199 = 183478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183478

Therefore, the GCF of Fractions 5753/922,3563/398 is 1/183478

Least Common Multiple of 922,398 with GCF Formula

Least Common Multiple of 922,398 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 922,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,398) = 2

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

GCF(922,398) x common factors =2 x 1 = 2

LCM(922,398) = ( 922 × 398 ) / 2

LCM(922,398) = 366956 / 2

LCM(922,398) = 183478


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 5753/922, 3563/398

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 5753/922, 3563/398?

Answer: GCF of Numerators as per given numbers 5753/922, 3563/398 is

GCF of Numerators i.e. for 5753,3563 is 1

LCM of denominators i.e. for 922,398 is 183478.

Thus, GCF of Fractions is 1/183478.Finally, GCF of Fractions for 5753/922, 3563/398 is 1/183478.