Greatest Common Factor of 75/882, 781/611, 203/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/882, 781/611, 203/759

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 75/882,781/611,203/759

Given fractions are 75/882,781/611,203/759

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 75,781,203

Greatest Common Factor of Numerators i.e. GCF of 75,781,203 is 1 .

LCM of Denominators means LCM of 882,611,759 as per the given fractions.

LCM of 882,611,759 is 136342206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,781,203

GCF of Fractions 75/882,781/611,203/759 is 1/136342206

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

Greatest Common Factor of 75,781,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,781,203 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 75,781,203 . The biggest common factor number is the GCF number.
So the greatest common factor 75,781,203 is 1.

Lets's calculate LCM of 882,611,759

3 882, 611, 759
294, 611, 253

∴ So the LCM of the given numbers is 3 x 294 x 611 x 253 = 136342206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136342206

Therefore, the GCF of Fractions 75/882,781/611,203/759 is 1/136342206

Least Common Multiple of 882,611,759 with GCF Formula

Least Common Multiple of 882,611,759 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 882,611,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,611,759) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(882,611,759) x common factors =1 x 3 = 3

LCM(882,611,759) = ( 882 × 611 × 759 ) / 3

LCM(882,611,759) = 409026618 / 3

LCM(882,611,759) = 136342206


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 75/882, 781/611, 203/759

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 75/882, 781/611, 203/759?

Answer: GCF of Numerators as per given numbers 75/882, 781/611, 203/759 is

GCF of Numerators i.e. for 75,781,203 is 1

LCM of denominators i.e. for 882,611,759 is 136342206.

Thus, GCF of Fractions is 1/136342206.Finally, GCF of Fractions for 75/882, 781/611, 203/759 is 1/136342206.