Greatest Common Factor of 1771/992, 2331/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1771/992, 2331/988

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 1771/992,2331/988

Given fractions are 1771/992,2331/988

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 1771,2331

Greatest Common Factor of Numerators i.e. GCF of 1771,2331 is 7 .

LCM of Denominators means LCM of 992,988 as per the given fractions.

LCM of 992,988 is 245024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1771,2331

GCF of Fractions 1771/992,2331/988 is 7/245024

7 1771, 2331
253, 333

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1771,2331 By Matching Biggest Common Factor Method

Greatest Common Factor of 1771,2331 By Matching Biggest Common Factor Method

Factors of 1771

List of positive integer factors of 1771 that divides 1771 without a remainder.

1,7,11,23,77,161,253,1771

Factors of 2331

List of positive integer factors of 2331 that divides 2331 without a remainder.

1,3,7,9,21,37,63,111,259,333,777,2331

Greatest Common Factor

We found the factors 1771,2331 . The biggest common factor number is the GCF number.
So the greatest common factor 1771,2331 is 7.

Lets's calculate LCM of 992,988

2 992, 988
2 496, 494
248, 247

∴ So the LCM of the given numbers is 2 x 2 x 248 x 247 = 245024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/245024

Therefore, the GCF of Fractions 1771/992,2331/988 is 7/245024

Least Common Multiple of 992,988 with GCF Formula

Least Common Multiple of 992,988 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 992,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,988) = 4

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

GCF(992,988) x common factors =4 x 1 = 4

LCM(992,988) = ( 992 × 988 ) / 4

LCM(992,988) = 980096 / 4

LCM(992,988) = 245024


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 1771/992, 2331/988

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 1771/992, 2331/988?

Answer: GCF of Numerators as per given numbers 1771/992, 2331/988 is

GCF of Numerators i.e. for 1771,2331 is 7

LCM of denominators i.e. for 992,988 is 245024.

Thus, GCF of Fractions is 7/245024.Finally, GCF of Fractions for 1771/992, 2331/988 is 7/245024.