Greatest Common Factor of 425/759, 275/220, 102/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 425/759, 275/220, 102/682

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 425/759,275/220,102/682

Given fractions are 425/759,275/220,102/682

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 425,275,102

Greatest Common Factor of Numerators i.e. GCF of 425,275,102 is 1 .

LCM of Denominators means LCM of 759,220,682 as per the given fractions.

LCM of 759,220,682 is 470580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 425,275,102

GCF of Fractions 425/759,275/220,102/682 is 1/470580

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

Greatest Common Factor of 425,275,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,275,102 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 425,275,102 . The biggest common factor number is the GCF number.
So the greatest common factor 425,275,102 is 1.

Lets's calculate LCM of 759,220,682

2 759, 220, 682
11 759, 110, 341
69, 10, 31

∴ So the LCM of the given numbers is 2 x 11 x 69 x 10 x 31 = 470580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470580

Therefore, the GCF of Fractions 425/759,275/220,102/682 is 1/470580

Least Common Multiple of 759,220,682 with GCF Formula

Least Common Multiple of 759,220,682 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 759,220,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,220,682) = 11

common factors(in case of two or more numbers have common factors) = 22

GCF(759,220,682) x common factors =11 x 22 = 242

LCM(759,220,682) = ( 759 × 220 × 682 ) / 242

LCM(759,220,682) = 113880360 / 242

LCM(759,220,682) = 470580


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 425/759, 275/220, 102/682

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 425/759, 275/220, 102/682?

Answer: GCF of Numerators as per given numbers 425/759, 275/220, 102/682 is

GCF of Numerators i.e. for 425,275,102 is 1

LCM of denominators i.e. for 759,220,682 is 470580.

Thus, GCF of Fractions is 1/470580.Finally, GCF of Fractions for 425/759, 275/220, 102/682 is 1/470580.