Greatest Common Factor of 997/51, 677/98, 764/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 997/51, 677/98, 764/740

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 997/51,677/98,764/740

Given fractions are 997/51,677/98,764/740

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 997,677,764

Greatest Common Factor of Numerators i.e. GCF of 997,677,764 is 1 .

LCM of Denominators means LCM of 51,98,740 as per the given fractions.

LCM of 51,98,740 is 1849260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 997,677,764

GCF of Fractions 997/51,677/98,764/740 is 1/1849260

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

Greatest Common Factor of 997,677,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,677,764 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 997,677,764 . The biggest common factor number is the GCF number.
So the greatest common factor 997,677,764 is 1.

Lets's calculate LCM of 51,98,740

2 51, 98, 740
51, 49, 370

∴ So the LCM of the given numbers is 2 x 51 x 49 x 370 = 1849260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1849260

Therefore, the GCF of Fractions 997/51,677/98,764/740 is 1/1849260

Least Common Multiple of 51,98,740 with GCF Formula

Least Common Multiple of 51,98,740 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 51,98,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,98,740) = 1

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

GCF(51,98,740) x common factors =1 x 2 = 2

LCM(51,98,740) = ( 51 × 98 × 740 ) / 2

LCM(51,98,740) = 3698520 / 2

LCM(51,98,740) = 1849260


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 997/51, 677/98, 764/740

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 997/51, 677/98, 764/740?

Answer: GCF of Numerators as per given numbers 997/51, 677/98, 764/740 is

GCF of Numerators i.e. for 997,677,764 is 1

LCM of denominators i.e. for 51,98,740 is 1849260.

Thus, GCF of Fractions is 1/1849260.Finally, GCF of Fractions for 997/51, 677/98, 764/740 is 1/1849260.