Greatest Common Factor of 686/901, 6959/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/901, 6959/674

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 686/901,6959/674

Given fractions are 686/901,6959/674

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 686,6959

Greatest Common Factor of Numerators i.e. GCF of 686,6959 is 1 .

LCM of Denominators means LCM of 901,674 as per the given fractions.

LCM of 901,674 is 607274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,6959

GCF of Fractions 686/901,6959/674 is 1/607274

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

Greatest Common Factor of 686,6959 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,6959 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 6959

List of positive integer factors of 6959 that divides 6959 without a remainder.

1,6959

Greatest Common Factor

We found the factors 686,6959 . The biggest common factor number is the GCF number.
So the greatest common factor 686,6959 is 1.

Lets's calculate LCM of 901,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 607274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607274

Therefore, the GCF of Fractions 686/901,6959/674 is 1/607274

Least Common Multiple of 901,674 with GCF Formula

Least Common Multiple of 901,674 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 901,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,674) = 1

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

GCF(901,674) x common factors =1 x 1 = 1

LCM(901,674) = ( 901 × 674 ) / 1

LCM(901,674) = 607274 / 1

LCM(901,674) = 607274


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 686/901, 6959/674

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 686/901, 6959/674?

Answer: GCF of Numerators as per given numbers 686/901, 6959/674 is

GCF of Numerators i.e. for 686,6959 is 1

LCM of denominators i.e. for 901,674 is 607274.

Thus, GCF of Fractions is 1/607274.Finally, GCF of Fractions for 686/901, 6959/674 is 1/607274.