Greatest Common Factor of 735/675, 541/967, 257/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 735/675, 541/967, 257/809

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 735/675,541/967,257/809

Given fractions are 735/675,541/967,257/809

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 735,541,257

Greatest Common Factor of Numerators i.e. GCF of 735,541,257 is 1 .

LCM of Denominators means LCM of 675,967,809 as per the given fractions.

LCM of 675,967,809 is 528054525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 735,541,257

GCF of Fractions 735/675,541/967,257/809 is 1/528054525

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

Greatest Common Factor of 735,541,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,541,257 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 735,541,257 . The biggest common factor number is the GCF number.
So the greatest common factor 735,541,257 is 1.

Lets's calculate LCM of 675,967,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 528054525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528054525

Therefore, the GCF of Fractions 735/675,541/967,257/809 is 1/528054525

Least Common Multiple of 675,967,809 with GCF Formula

Least Common Multiple of 675,967,809 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 675,967,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,967,809) = 1

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

GCF(675,967,809) x common factors =1 x 1 = 1

LCM(675,967,809) = ( 675 × 967 × 809 ) / 1

LCM(675,967,809) = 528054525 / 1

LCM(675,967,809) = 528054525


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 735/675, 541/967, 257/809

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 735/675, 541/967, 257/809?

Answer: GCF of Numerators as per given numbers 735/675, 541/967, 257/809 is

GCF of Numerators i.e. for 735,541,257 is 1

LCM of denominators i.e. for 675,967,809 is 528054525.

Thus, GCF of Fractions is 1/528054525.Finally, GCF of Fractions for 735/675, 541/967, 257/809 is 1/528054525.