Greatest Common Factor of 40/72, 47/998, 761/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/72, 47/998, 761/698

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 40/72,47/998,761/698

Given fractions are 40/72,47/998,761/698

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 40,47,761

Greatest Common Factor of Numerators i.e. GCF of 40,47,761 is 1 .

LCM of Denominators means LCM of 72,998,698 as per the given fractions.

LCM of 72,998,698 is 12538872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,47,761

GCF of Fractions 40/72,47/998,761/698 is 1/12538872

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

Greatest Common Factor of 40,47,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,47,761 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 40,47,761 . The biggest common factor number is the GCF number.
So the greatest common factor 40,47,761 is 1.

Lets's calculate LCM of 72,998,698

2 72, 998, 698
36, 499, 349

∴ So the LCM of the given numbers is 2 x 36 x 499 x 349 = 12538872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12538872

Therefore, the GCF of Fractions 40/72,47/998,761/698 is 1/12538872

Least Common Multiple of 72,998,698 with GCF Formula

Least Common Multiple of 72,998,698 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 72,998,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,998,698) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(72,998,698) x common factors =2 x 2 = 4

LCM(72,998,698) = ( 72 × 998 × 698 ) / 4

LCM(72,998,698) = 50155488 / 4

LCM(72,998,698) = 12538872


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 40/72, 47/998, 761/698

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 40/72, 47/998, 761/698?

Answer: GCF of Numerators as per given numbers 40/72, 47/998, 761/698 is

GCF of Numerators i.e. for 40,47,761 is 1

LCM of denominators i.e. for 72,998,698 is 12538872.

Thus, GCF of Fractions is 1/12538872.Finally, GCF of Fractions for 40/72, 47/998, 761/698 is 1/12538872.