Greatest Common Factor of 5783/972, 5687/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5783/972, 5687/362

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 5783/972,5687/362

Given fractions are 5783/972,5687/362

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 5783,5687

Greatest Common Factor of Numerators i.e. GCF of 5783,5687 is 1 .

LCM of Denominators means LCM of 972,362 as per the given fractions.

LCM of 972,362 is 175932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5783,5687

GCF of Fractions 5783/972,5687/362 is 1/175932

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

Greatest Common Factor of 5783,5687 By Matching Biggest Common Factor Method

Greatest Common Factor of 5783,5687 By Matching Biggest Common Factor Method

Factors of 5783

List of positive integer factors of 5783 that divides 5783 without a remainder.

1,5783

Factors of 5687

List of positive integer factors of 5687 that divides 5687 without a remainder.

1,11,47,121,517,5687

Greatest Common Factor

We found the factors 5783,5687 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,5687 is 1.

Lets's calculate LCM of 972,362

2 972, 362
486, 181

∴ So the LCM of the given numbers is 2 x 486 x 181 = 175932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175932

Therefore, the GCF of Fractions 5783/972,5687/362 is 1/175932

Least Common Multiple of 972,362 with GCF Formula

Least Common Multiple of 972,362 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 972,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,362) = 2

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

GCF(972,362) x common factors =2 x 1 = 2

LCM(972,362) = ( 972 × 362 ) / 2

LCM(972,362) = 351864 / 2

LCM(972,362) = 175932


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 5783/972, 5687/362

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 5783/972, 5687/362?

Answer: GCF of Numerators as per given numbers 5783/972, 5687/362 is

GCF of Numerators i.e. for 5783,5687 is 1

LCM of denominators i.e. for 972,362 is 175932.

Thus, GCF of Fractions is 1/175932.Finally, GCF of Fractions for 5783/972, 5687/362 is 1/175932.