Greatest Common Factor of 5322/874, 5329/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5322/874, 5329/943

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 5322/874,5329/943

Given fractions are 5322/874,5329/943

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 5322,5329

Greatest Common Factor of Numerators i.e. GCF of 5322,5329 is 1 .

LCM of Denominators means LCM of 874,943 as per the given fractions.

LCM of 874,943 is 35834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5322,5329

GCF of Fractions 5322/874,5329/943 is 1/35834

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

Greatest Common Factor of 5322,5329 By Matching Biggest Common Factor Method

Greatest Common Factor of 5322,5329 By Matching Biggest Common Factor Method

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1,73,5329

Greatest Common Factor

We found the factors 5322,5329 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,5329 is 1.

Lets's calculate LCM of 874,943

23 874, 943
38, 41

∴ So the LCM of the given numbers is 23 x 38 x 41 = 35834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35834

Therefore, the GCF of Fractions 5322/874,5329/943 is 1/35834

Least Common Multiple of 874,943 with GCF Formula

Least Common Multiple of 874,943 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 874,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,943) = 23

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

GCF(874,943) x common factors =23 x 1 = 23

LCM(874,943) = ( 874 × 943 ) / 23

LCM(874,943) = 824182 / 23

LCM(874,943) = 35834


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 5322/874, 5329/943

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 5322/874, 5329/943?

Answer: GCF of Numerators as per given numbers 5322/874, 5329/943 is

GCF of Numerators i.e. for 5322,5329 is 1

LCM of denominators i.e. for 874,943 is 35834.

Thus, GCF of Fractions is 1/35834.Finally, GCF of Fractions for 5322/874, 5329/943 is 1/35834.