Greatest Common Factor of 696/465, 537/656, 487/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/465, 537/656, 487/721

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 696/465,537/656,487/721

Given fractions are 696/465,537/656,487/721

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 696,537,487

Greatest Common Factor of Numerators i.e. GCF of 696,537,487 is 1 .

LCM of Denominators means LCM of 465,656,721 as per the given fractions.

LCM of 465,656,721 is 219933840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,537,487

GCF of Fractions 696/465,537/656,487/721 is 1/219933840

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

Greatest Common Factor of 696,537,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,537,487 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 696,537,487 . The biggest common factor number is the GCF number.
So the greatest common factor 696,537,487 is 1.

Lets's calculate LCM of 465,656,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 219933840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219933840

Therefore, the GCF of Fractions 696/465,537/656,487/721 is 1/219933840

Least Common Multiple of 465,656,721 with GCF Formula

Least Common Multiple of 465,656,721 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 465,656,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,656,721) = 1

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

GCF(465,656,721) x common factors =1 x 1 = 1

LCM(465,656,721) = ( 465 × 656 × 721 ) / 1

LCM(465,656,721) = 219933840 / 1

LCM(465,656,721) = 219933840


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 696/465, 537/656, 487/721

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 696/465, 537/656, 487/721?

Answer: GCF of Numerators as per given numbers 696/465, 537/656, 487/721 is

GCF of Numerators i.e. for 696,537,487 is 1

LCM of denominators i.e. for 465,656,721 is 219933840.

Thus, GCF of Fractions is 1/219933840.Finally, GCF of Fractions for 696/465, 537/656, 487/721 is 1/219933840.