Greatest Common Factor of 29/997, 978/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/997, 978/127

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 29/997,978/127

Given fractions are 29/997,978/127

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 29,978

Greatest Common Factor of Numerators i.e. GCF of 29,978 is 1 .

LCM of Denominators means LCM of 997,127 as per the given fractions.

LCM of 997,127 is 126619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,978

GCF of Fractions 29/997,978/127 is 1/126619

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

Greatest Common Factor of 29,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,978 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 29,978 . The biggest common factor number is the GCF number.
So the greatest common factor 29,978 is 1.

Lets's calculate LCM of 997,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 126619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126619

Therefore, the GCF of Fractions 29/997,978/127 is 1/126619

Least Common Multiple of 997,127 with GCF Formula

Least Common Multiple of 997,127 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 997,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,127) = 1

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

GCF(997,127) x common factors =1 x 1 = 1

LCM(997,127) = ( 997 × 127 ) / 1

LCM(997,127) = 126619 / 1

LCM(997,127) = 126619


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 29/997, 978/127

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 29/997, 978/127?

Answer: GCF of Numerators as per given numbers 29/997, 978/127 is

GCF of Numerators i.e. for 29,978 is 1

LCM of denominators i.e. for 997,127 is 126619.

Thus, GCF of Fractions is 1/126619.Finally, GCF of Fractions for 29/997, 978/127 is 1/126619.