Greatest Common Factor of 6574/795, 6741/7130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6574/795, 6741/7130

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 6574/795,6741/7130

Given fractions are 6574/795,6741/7130

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 6574,6741

Greatest Common Factor of Numerators i.e. GCF of 6574,6741 is 1 .

LCM of Denominators means LCM of 795,7130 as per the given fractions.

LCM of 795,7130 is 1133670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6574,6741

GCF of Fractions 6574/795,6741/7130 is 1/1133670

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

Greatest Common Factor of 6574,6741 By Matching Biggest Common Factor Method

Greatest Common Factor of 6574,6741 By Matching Biggest Common Factor Method

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Factors of 6741

List of positive integer factors of 6741 that divides 6741 without a remainder.

1,3,7,9,21,63,107,321,749,963,2247,6741

Greatest Common Factor

We found the factors 6574,6741 . The biggest common factor number is the GCF number.
So the greatest common factor 6574,6741 is 1.

Lets's calculate LCM of 795,7130

5 795, 7130
159, 1426

∴ So the LCM of the given numbers is 5 x 159 x 1426 = 1133670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1133670

Therefore, the GCF of Fractions 6574/795,6741/7130 is 1/1133670

Least Common Multiple of 795,7130 with GCF Formula

Least Common Multiple of 795,7130 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 795,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,7130) = 5

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

GCF(795,7130) x common factors =5 x 1 = 5

LCM(795,7130) = ( 795 × 7130 ) / 5

LCM(795,7130) = 5668350 / 5

LCM(795,7130) = 1133670


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 6574/795, 6741/7130

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 6574/795, 6741/7130?

Answer: GCF of Numerators as per given numbers 6574/795, 6741/7130 is

GCF of Numerators i.e. for 6574,6741 is 1

LCM of denominators i.e. for 795,7130 is 1133670.

Thus, GCF of Fractions is 1/1133670.Finally, GCF of Fractions for 6574/795, 6741/7130 is 1/1133670.