Greatest Common Factor of 727/95, 659/60, 749/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/95, 659/60, 749/353

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 727/95,659/60,749/353

Given fractions are 727/95,659/60,749/353

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 727,659,749

Greatest Common Factor of Numerators i.e. GCF of 727,659,749 is 1 .

LCM of Denominators means LCM of 95,60,353 as per the given fractions.

LCM of 95,60,353 is 402420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,659,749

GCF of Fractions 727/95,659/60,749/353 is 1/402420

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

Greatest Common Factor of 727,659,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,659,749 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 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 727,659,749 . The biggest common factor number is the GCF number.
So the greatest common factor 727,659,749 is 1.

Lets's calculate LCM of 95,60,353

5 95, 60, 353
19, 12, 353

∴ So the LCM of the given numbers is 5 x 19 x 12 x 353 = 402420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402420

Therefore, the GCF of Fractions 727/95,659/60,749/353 is 1/402420

Least Common Multiple of 95,60,353 with GCF Formula

Least Common Multiple of 95,60,353 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 95,60,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,60,353) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,60,353) x common factors =1 x 5 = 5

LCM(95,60,353) = ( 95 × 60 × 353 ) / 5

LCM(95,60,353) = 2012100 / 5

LCM(95,60,353) = 402420


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 727/95, 659/60, 749/353

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 727/95, 659/60, 749/353?

Answer: GCF of Numerators as per given numbers 727/95, 659/60, 749/353 is

GCF of Numerators i.e. for 727,659,749 is 1

LCM of denominators i.e. for 95,60,353 is 402420.

Thus, GCF of Fractions is 1/402420.Finally, GCF of Fractions for 727/95, 659/60, 749/353 is 1/402420.