Greatest Common Factor of 149/795, 6425/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/795, 6425/260

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 149/795,6425/260

Given fractions are 149/795,6425/260

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 149,6425

Greatest Common Factor of Numerators i.e. GCF of 149,6425 is 1 .

LCM of Denominators means LCM of 795,260 as per the given fractions.

LCM of 795,260 is 41340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,6425

GCF of Fractions 149/795,6425/260 is 1/41340

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

Greatest Common Factor of 149,6425 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,6425 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors 149,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 149,6425 is 1.

Lets's calculate LCM of 795,260

5 795, 260
159, 52

∴ So the LCM of the given numbers is 5 x 159 x 52 = 41340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41340

Therefore, the GCF of Fractions 149/795,6425/260 is 1/41340

Least Common Multiple of 795,260 with GCF Formula

Least Common Multiple of 795,260 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 795,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,260) = 5

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

GCF(795,260) x common factors =5 x 1 = 5

LCM(795,260) = ( 795 × 260 ) / 5

LCM(795,260) = 206700 / 5

LCM(795,260) = 41340


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 149/795, 6425/260

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 149/795, 6425/260?

Answer: GCF of Numerators as per given numbers 149/795, 6425/260 is

GCF of Numerators i.e. for 149,6425 is 1

LCM of denominators i.e. for 795,260 is 41340.

Thus, GCF of Fractions is 1/41340.Finally, GCF of Fractions for 149/795, 6425/260 is 1/41340.