Greatest Common Factor of 978/271, 402/184, 787/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/271, 402/184, 787/127

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 978/271,402/184,787/127

Given fractions are 978/271,402/184,787/127

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 978,402,787

Greatest Common Factor of Numerators i.e. GCF of 978,402,787 is 1 .

LCM of Denominators means LCM of 271,184,127 as per the given fractions.

LCM of 271,184,127 is 6332728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,402,787

GCF of Fractions 978/271,402/184,787/127 is 1/6332728

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

Greatest Common Factor of 978,402,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,402,787 By Matching Biggest Common Factor Method

Factors of 978

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

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

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 978,402,787 . The biggest common factor number is the GCF number.
So the greatest common factor 978,402,787 is 1.

Lets's calculate LCM of 271,184,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 6332728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6332728

Therefore, the GCF of Fractions 978/271,402/184,787/127 is 1/6332728

Least Common Multiple of 271,184,127 with GCF Formula

Least Common Multiple of 271,184,127 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 271,184,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,184,127) = 1

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

GCF(271,184,127) x common factors =1 x 1 = 1

LCM(271,184,127) = ( 271 × 184 × 127 ) / 1

LCM(271,184,127) = 6332728 / 1

LCM(271,184,127) = 6332728


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 978/271, 402/184, 787/127

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 978/271, 402/184, 787/127?

Answer: GCF of Numerators as per given numbers 978/271, 402/184, 787/127 is

GCF of Numerators i.e. for 978,402,787 is 1

LCM of denominators i.e. for 271,184,127 is 6332728.

Thus, GCF of Fractions is 1/6332728.Finally, GCF of Fractions for 978/271, 402/184, 787/127 is 1/6332728.