Greatest Common Factor of 988/29, 943/77, 986/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/29, 943/77, 986/959

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 988/29,943/77,986/959

Given fractions are 988/29,943/77,986/959

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 988,943,986

Greatest Common Factor of Numerators i.e. GCF of 988,943,986 is 1 .

LCM of Denominators means LCM of 29,77,959 as per the given fractions.

LCM of 29,77,959 is 305921 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,943,986

GCF of Fractions 988/29,943/77,986/959 is 1/305921

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

Greatest Common Factor of 988,943,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,943,986 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 988,943,986 . The biggest common factor number is the GCF number.
So the greatest common factor 988,943,986 is 1.

Lets's calculate LCM of 29,77,959

7 29, 77, 959
29, 11, 137

∴ So the LCM of the given numbers is 7 x 29 x 11 x 137 = 305921

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305921

Therefore, the GCF of Fractions 988/29,943/77,986/959 is 1/305921

Least Common Multiple of 29,77,959 with GCF Formula

Least Common Multiple of 29,77,959 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 29,77,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,77,959) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(29,77,959) x common factors =1 x 7 = 7

LCM(29,77,959) = ( 29 × 77 × 959 ) / 7

LCM(29,77,959) = 2141447 / 7

LCM(29,77,959) = 305921


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 988/29, 943/77, 986/959

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 988/29, 943/77, 986/959?

Answer: GCF of Numerators as per given numbers 988/29, 943/77, 986/959 is

GCF of Numerators i.e. for 988,943,986 is 1

LCM of denominators i.e. for 29,77,959 is 305921.

Thus, GCF of Fractions is 1/305921.Finally, GCF of Fractions for 988/29, 943/77, 986/959 is 1/305921.