Greatest Common Factor of 686/71, 946/1389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/71, 946/1389

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 686/71,946/1389

Given fractions are 686/71,946/1389

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 686,946

Greatest Common Factor of Numerators i.e. GCF of 686,946 is 2 .

LCM of Denominators means LCM of 71,1389 as per the given fractions.

LCM of 71,1389 is 98619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,946

GCF of Fractions 686/71,946/1389 is 2/98619

2 686, 946
343, 473

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 686,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,946 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 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 686,946 . The biggest common factor number is the GCF number.
So the greatest common factor 686,946 is 2.

Lets's calculate LCM of 71,1389

Given numbers has no common factors except 1. So, there LCM is their product i.e 98619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98619

Therefore, the GCF of Fractions 686/71,946/1389 is 2/98619

Least Common Multiple of 71,1389 with GCF Formula

Least Common Multiple of 71,1389 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 71,1389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,1389) = 1

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

GCF(71,1389) x common factors =1 x 1 = 1

LCM(71,1389) = ( 71 × 1389 ) / 1

LCM(71,1389) = 98619 / 1

LCM(71,1389) = 98619


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 686/71, 946/1389

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 686/71, 946/1389?

Answer: GCF of Numerators as per given numbers 686/71, 946/1389 is

GCF of Numerators i.e. for 686,946 is 2

LCM of denominators i.e. for 71,1389 is 98619.

Thus, GCF of Fractions is 2/98619.Finally, GCF of Fractions for 686/71, 946/1389 is 2/98619.