Greatest Common Factor of 8389/687, 4156/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8389/687, 4156/740

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 8389/687,4156/740

Given fractions are 8389/687,4156/740

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 8389,4156

Greatest Common Factor of Numerators i.e. GCF of 8389,4156 is 1 .

LCM of Denominators means LCM of 687,740 as per the given fractions.

LCM of 687,740 is 508380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8389,4156

GCF of Fractions 8389/687,4156/740 is 1/508380

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

Greatest Common Factor of 8389,4156 By Matching Biggest Common Factor Method

Greatest Common Factor of 8389,4156 By Matching Biggest Common Factor Method

Factors of 8389

List of positive integer factors of 8389 that divides 8389 without a remainder.

1,8389

Factors of 4156

List of positive integer factors of 4156 that divides 4156 without a remainder.

1,2,4,1039,2078,4156

Greatest Common Factor

We found the factors 8389,4156 . The biggest common factor number is the GCF number.
So the greatest common factor 8389,4156 is 1.

Lets's calculate LCM of 687,740

Given numbers has no common factors except 1. So, there LCM is their product i.e 508380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508380

Therefore, the GCF of Fractions 8389/687,4156/740 is 1/508380

Least Common Multiple of 687,740 with GCF Formula

Least Common Multiple of 687,740 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 687,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,740) = 1

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

GCF(687,740) x common factors =1 x 1 = 1

LCM(687,740) = ( 687 × 740 ) / 1

LCM(687,740) = 508380 / 1

LCM(687,740) = 508380


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 8389/687, 4156/740

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 8389/687, 4156/740?

Answer: GCF of Numerators as per given numbers 8389/687, 4156/740 is

GCF of Numerators i.e. for 8389,4156 is 1

LCM of denominators i.e. for 687,740 is 508380.

Thus, GCF of Fractions is 1/508380.Finally, GCF of Fractions for 8389/687, 4156/740 is 1/508380.