Greatest Common Factor of 2698/59, 8379/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2698/59, 8379/685

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 2698/59,8379/685

Given fractions are 2698/59,8379/685

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 2698,8379

Greatest Common Factor of Numerators i.e. GCF of 2698,8379 is 19 .

LCM of Denominators means LCM of 59,685 as per the given fractions.

LCM of 59,685 is 40415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2698,8379

GCF of Fractions 2698/59,8379/685 is 19/40415

19 2698, 8379
142, 441

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 2698,8379 By Matching Biggest Common Factor Method

Greatest Common Factor of 2698,8379 By Matching Biggest Common Factor Method

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1,2,19,38,71,142,1349,2698

Factors of 8379

List of positive integer factors of 8379 that divides 8379 without a remainder.

1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379

Greatest Common Factor

We found the factors 2698,8379 . The biggest common factor number is the GCF number.
So the greatest common factor 2698,8379 is 19.

Lets's calculate LCM of 59,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 40415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/40415

Therefore, the GCF of Fractions 2698/59,8379/685 is 19/40415

Least Common Multiple of 59,685 with GCF Formula

Least Common Multiple of 59,685 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 59,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,685) = 1

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

GCF(59,685) x common factors =1 x 1 = 1

LCM(59,685) = ( 59 × 685 ) / 1

LCM(59,685) = 40415 / 1

LCM(59,685) = 40415


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 2698/59, 8379/685

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 2698/59, 8379/685?

Answer: GCF of Numerators as per given numbers 2698/59, 8379/685 is

GCF of Numerators i.e. for 2698,8379 is 19

LCM of denominators i.e. for 59,685 is 40415.

Thus, GCF of Fractions is 19/40415.Finally, GCF of Fractions for 2698/59, 8379/685 is 19/40415.