Greatest Common Factor of 826/660, 1631/8685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/660, 1631/8685

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 826/660,1631/8685

Given fractions are 826/660,1631/8685

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 826,1631

Greatest Common Factor of Numerators i.e. GCF of 826,1631 is 7 .

LCM of Denominators means LCM of 660,8685 as per the given fractions.

LCM of 660,8685 is 382140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,1631

GCF of Fractions 826/660,1631/8685 is 7/382140

7 826, 1631
118, 233

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 826,1631 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,1631 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Greatest Common Factor

We found the factors 826,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 826,1631 is 7.

Lets's calculate LCM of 660,8685

3 660, 8685
5 220, 2895
44, 579

∴ So the LCM of the given numbers is 3 x 5 x 44 x 579 = 382140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/382140

Therefore, the GCF of Fractions 826/660,1631/8685 is 7/382140

Least Common Multiple of 660,8685 with GCF Formula

Least Common Multiple of 660,8685 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 660,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,8685) = 15

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

GCF(660,8685) x common factors =15 x 1 = 15

LCM(660,8685) = ( 660 × 8685 ) / 15

LCM(660,8685) = 5732100 / 15

LCM(660,8685) = 382140


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 826/660, 1631/8685

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 826/660, 1631/8685?

Answer: GCF of Numerators as per given numbers 826/660, 1631/8685 is

GCF of Numerators i.e. for 826,1631 is 7

LCM of denominators i.e. for 660,8685 is 382140.

Thus, GCF of Fractions is 7/382140.Finally, GCF of Fractions for 826/660, 1631/8685 is 7/382140.