Greatest Common Factor of 7605/677, 8134/6236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7605/677, 8134/6236

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 7605/677,8134/6236

Given fractions are 7605/677,8134/6236

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 7605,8134

Greatest Common Factor of Numerators i.e. GCF of 7605,8134 is 1 .

LCM of Denominators means LCM of 677,6236 as per the given fractions.

LCM of 677,6236 is 4221772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7605,8134

GCF of Fractions 7605/677,8134/6236 is 1/4221772

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

Greatest Common Factor of 7605,8134 By Matching Biggest Common Factor Method

Greatest Common Factor of 7605,8134 By Matching Biggest Common Factor Method

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Greatest Common Factor

We found the factors 7605,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 7605,8134 is 1.

Lets's calculate LCM of 677,6236

Given numbers has no common factors except 1. So, there LCM is their product i.e 4221772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4221772

Therefore, the GCF of Fractions 7605/677,8134/6236 is 1/4221772

Least Common Multiple of 677,6236 with GCF Formula

Least Common Multiple of 677,6236 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 677,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,6236) = 1

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

GCF(677,6236) x common factors =1 x 1 = 1

LCM(677,6236) = ( 677 × 6236 ) / 1

LCM(677,6236) = 4221772 / 1

LCM(677,6236) = 4221772


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 7605/677, 8134/6236

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 7605/677, 8134/6236?

Answer: GCF of Numerators as per given numbers 7605/677, 8134/6236 is

GCF of Numerators i.e. for 7605,8134 is 1

LCM of denominators i.e. for 677,6236 is 4221772.

Thus, GCF of Fractions is 1/4221772.Finally, GCF of Fractions for 7605/677, 8134/6236 is 1/4221772.