Greatest Common Factor of 762/465, 5973/4527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 762/465, 5973/4527

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 762/465,5973/4527

Given fractions are 762/465,5973/4527

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 762,5973

Greatest Common Factor of Numerators i.e. GCF of 762,5973 is 3 .

LCM of Denominators means LCM of 465,4527 as per the given fractions.

LCM of 465,4527 is 701685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 762,5973

GCF of Fractions 762/465,5973/4527 is 3/701685

3 762, 5973
254, 1991

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 762,5973 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,5973 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1,3,11,33,181,543,1991,5973

Greatest Common Factor

We found the factors 762,5973 . The biggest common factor number is the GCF number.
So the greatest common factor 762,5973 is 3.

Lets's calculate LCM of 465,4527

3 465, 4527
155, 1509

∴ So the LCM of the given numbers is 3 x 155 x 1509 = 701685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/701685

Therefore, the GCF of Fractions 762/465,5973/4527 is 3/701685

Least Common Multiple of 465,4527 with GCF Formula

Least Common Multiple of 465,4527 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 465,4527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,4527) = 3

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

GCF(465,4527) x common factors =3 x 1 = 3

LCM(465,4527) = ( 465 × 4527 ) / 3

LCM(465,4527) = 2105055 / 3

LCM(465,4527) = 701685


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 762/465, 5973/4527

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 762/465, 5973/4527?

Answer: GCF of Numerators as per given numbers 762/465, 5973/4527 is

GCF of Numerators i.e. for 762,5973 is 3

LCM of denominators i.e. for 465,4527 is 701685.

Thus, GCF of Fractions is 3/701685.Finally, GCF of Fractions for 762/465, 5973/4527 is 3/701685.