Greatest Common Factor of 2486/769, 9682/4492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2486/769, 9682/4492

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 2486/769,9682/4492

Given fractions are 2486/769,9682/4492

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 2486,9682

Greatest Common Factor of Numerators i.e. GCF of 2486,9682 is 2 .

LCM of Denominators means LCM of 769,4492 as per the given fractions.

LCM of 769,4492 is 3454348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2486,9682

GCF of Fractions 2486/769,9682/4492 is 2/3454348

2 2486, 9682
1243, 4841

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

Greatest Common Factor of 2486,9682 By Matching Biggest Common Factor Method

Greatest Common Factor of 2486,9682 By Matching Biggest Common Factor Method

Factors of 2486

List of positive integer factors of 2486 that divides 2486 without a remainder.

1,2,11,22,113,226,1243,2486

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1,2,47,94,103,206,4841,9682

Greatest Common Factor

We found the factors 2486,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 2486,9682 is 2.

Lets's calculate LCM of 769,4492

Given numbers has no common factors except 1. So, there LCM is their product i.e 3454348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3454348

Therefore, the GCF of Fractions 2486/769,9682/4492 is 2/3454348

Least Common Multiple of 769,4492 with GCF Formula

Least Common Multiple of 769,4492 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 769,4492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,4492) = 1

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

GCF(769,4492) x common factors =1 x 1 = 1

LCM(769,4492) = ( 769 × 4492 ) / 1

LCM(769,4492) = 3454348 / 1

LCM(769,4492) = 3454348


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 2486/769, 9682/4492

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 2486/769, 9682/4492?

Answer: GCF of Numerators as per given numbers 2486/769, 9682/4492 is

GCF of Numerators i.e. for 2486,9682 is 2

LCM of denominators i.e. for 769,4492 is 3454348.

Thus, GCF of Fractions is 2/3454348.Finally, GCF of Fractions for 2486/769, 9682/4492 is 2/3454348.