Greatest Common Factor of 641/34, 703/10, 975/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 641/34, 703/10, 975/253

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 641/34,703/10,975/253

Given fractions are 641/34,703/10,975/253

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 641,703,975

Greatest Common Factor of Numerators i.e. GCF of 641,703,975 is 1 .

LCM of Denominators means LCM of 34,10,253 as per the given fractions.

LCM of 34,10,253 is 43010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 641,703,975

GCF of Fractions 641/34,703/10,975/253 is 1/43010

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

Greatest Common Factor of 641,703,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,703,975 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 641,703,975 . The biggest common factor number is the GCF number.
So the greatest common factor 641,703,975 is 1.

Lets's calculate LCM of 34,10,253

2 34, 10, 253
17, 5, 253

∴ So the LCM of the given numbers is 2 x 17 x 5 x 253 = 43010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43010

Therefore, the GCF of Fractions 641/34,703/10,975/253 is 1/43010

Least Common Multiple of 34,10,253 with GCF Formula

Least Common Multiple of 34,10,253 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 34,10,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,10,253) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,10,253) x common factors =1 x 2 = 2

LCM(34,10,253) = ( 34 × 10 × 253 ) / 2

LCM(34,10,253) = 86020 / 2

LCM(34,10,253) = 43010


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 641/34, 703/10, 975/253

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 641/34, 703/10, 975/253?

Answer: GCF of Numerators as per given numbers 641/34, 703/10, 975/253 is

GCF of Numerators i.e. for 641,703,975 is 1

LCM of denominators i.e. for 34,10,253 is 43010.

Thus, GCF of Fractions is 1/43010.Finally, GCF of Fractions for 641/34, 703/10, 975/253 is 1/43010.