Greatest Common Factor of 601/38, 686/28, 527/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/38, 686/28, 527/919

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 601/38,686/28,527/919

Given fractions are 601/38,686/28,527/919

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 601,686,527

Greatest Common Factor of Numerators i.e. GCF of 601,686,527 is 1 .

LCM of Denominators means LCM of 38,28,919 as per the given fractions.

LCM of 38,28,919 is 488908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,686,527

GCF of Fractions 601/38,686/28,527/919 is 1/488908

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

Greatest Common Factor of 601,686,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,686,527 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 601,686,527 . The biggest common factor number is the GCF number.
So the greatest common factor 601,686,527 is 1.

Lets's calculate LCM of 38,28,919

2 38, 28, 919
19, 14, 919

∴ So the LCM of the given numbers is 2 x 19 x 14 x 919 = 488908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488908

Therefore, the GCF of Fractions 601/38,686/28,527/919 is 1/488908

Least Common Multiple of 38,28,919 with GCF Formula

Least Common Multiple of 38,28,919 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 38,28,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,28,919) = 1

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

GCF(38,28,919) x common factors =1 x 2 = 2

LCM(38,28,919) = ( 38 × 28 × 919 ) / 2

LCM(38,28,919) = 977816 / 2

LCM(38,28,919) = 488908


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 601/38, 686/28, 527/919

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 601/38, 686/28, 527/919?

Answer: GCF of Numerators as per given numbers 601/38, 686/28, 527/919 is

GCF of Numerators i.e. for 601,686,527 is 1

LCM of denominators i.e. for 38,28,919 is 488908.

Thus, GCF of Fractions is 1/488908.Finally, GCF of Fractions for 601/38, 686/28, 527/919 is 1/488908.