Greatest Common Factor of 973/651, 571/693, 743/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 973/651, 571/693, 743/749

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 973/651,571/693,743/749

Given fractions are 973/651,571/693,743/749

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 973,571,743

Greatest Common Factor of Numerators i.e. GCF of 973,571,743 is 1 .

LCM of Denominators means LCM of 651,693,749 as per the given fractions.

LCM of 651,693,749 is 2298681 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 973,571,743

GCF of Fractions 973/651,571/693,743/749 is 1/2298681

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

Greatest Common Factor of 973,571,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,571,743 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 973,571,743 . The biggest common factor number is the GCF number.
So the greatest common factor 973,571,743 is 1.

Lets's calculate LCM of 651,693,749

3 651, 693, 749
7 217, 231, 749
31, 33, 107

∴ So the LCM of the given numbers is 3 x 7 x 31 x 33 x 107 = 2298681

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2298681

Therefore, the GCF of Fractions 973/651,571/693,743/749 is 1/2298681

Least Common Multiple of 651,693,749 with GCF Formula

Least Common Multiple of 651,693,749 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 651,693,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,693,749) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(651,693,749) x common factors =7 x 21 = 147

LCM(651,693,749) = ( 651 × 693 × 749 ) / 147

LCM(651,693,749) = 337906107 / 147

LCM(651,693,749) = 2298681


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 973/651, 571/693, 743/749

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 973/651, 571/693, 743/749?

Answer: GCF of Numerators as per given numbers 973/651, 571/693, 743/749 is

GCF of Numerators i.e. for 973,571,743 is 1

LCM of denominators i.e. for 651,693,749 is 2298681.

Thus, GCF of Fractions is 1/2298681.Finally, GCF of Fractions for 973/651, 571/693, 743/749 is 1/2298681.