Greatest Common Factor of 727/836, 357/330, 359/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/836, 357/330, 359/988

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 727/836,357/330,359/988

Given fractions are 727/836,357/330,359/988

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 727,357,359

Greatest Common Factor of Numerators i.e. GCF of 727,357,359 is 1 .

LCM of Denominators means LCM of 836,330,988 as per the given fractions.

LCM of 836,330,988 is 163020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,357,359

GCF of Fractions 727/836,357/330,359/988 is 1/163020

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

Greatest Common Factor of 727,357,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,357,359 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 727,357,359 . The biggest common factor number is the GCF number.
So the greatest common factor 727,357,359 is 1.

Lets's calculate LCM of 836,330,988

2 836, 330, 988
2 418, 165, 494
11 209, 165, 247
19 19, 15, 247
1, 15, 13

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 1 x 15 x 13 = 163020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163020

Therefore, the GCF of Fractions 727/836,357/330,359/988 is 1/163020

Least Common Multiple of 836,330,988 with GCF Formula

Least Common Multiple of 836,330,988 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 836,330,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,330,988) = 2

common factors(in case of two or more numbers have common factors) = 836

GCF(836,330,988) x common factors =2 x 836 = 1672

LCM(836,330,988) = ( 836 × 330 × 988 ) / 1672

LCM(836,330,988) = 272569440 / 1672

LCM(836,330,988) = 163020


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 727/836, 357/330, 359/988

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 727/836, 357/330, 359/988?

Answer: GCF of Numerators as per given numbers 727/836, 357/330, 359/988 is

GCF of Numerators i.e. for 727,357,359 is 1

LCM of denominators i.e. for 836,330,988 is 163020.

Thus, GCF of Fractions is 1/163020.Finally, GCF of Fractions for 727/836, 357/330, 359/988 is 1/163020.