Greatest Common Factor of 1179/357, 6988/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1179/357, 6988/864

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 1179/357,6988/864

Given fractions are 1179/357,6988/864

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 1179,6988

Greatest Common Factor of Numerators i.e. GCF of 1179,6988 is 1 .

LCM of Denominators means LCM of 357,864 as per the given fractions.

LCM of 357,864 is 102816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1179,6988

GCF of Fractions 1179/357,6988/864 is 1/102816

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

Greatest Common Factor of 1179,6988 By Matching Biggest Common Factor Method

Greatest Common Factor of 1179,6988 By Matching Biggest Common Factor Method

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1,3,9,131,393,1179

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors 1179,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 1179,6988 is 1.

Lets's calculate LCM of 357,864

3 357, 864
119, 288

∴ So the LCM of the given numbers is 3 x 119 x 288 = 102816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102816

Therefore, the GCF of Fractions 1179/357,6988/864 is 1/102816

Least Common Multiple of 357,864 with GCF Formula

Least Common Multiple of 357,864 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 357,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,864) = 3

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

GCF(357,864) x common factors =3 x 1 = 3

LCM(357,864) = ( 357 × 864 ) / 3

LCM(357,864) = 308448 / 3

LCM(357,864) = 102816


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 1179/357, 6988/864

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 1179/357, 6988/864?

Answer: GCF of Numerators as per given numbers 1179/357, 6988/864 is

GCF of Numerators i.e. for 1179,6988 is 1

LCM of denominators i.e. for 357,864 is 102816.

Thus, GCF of Fractions is 1/102816.Finally, GCF of Fractions for 1179/357, 6988/864 is 1/102816.