Greatest Common Factor of 38/497, 80/688, 650/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/497, 80/688, 650/591

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 38/497,80/688,650/591

Given fractions are 38/497,80/688,650/591

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 38,80,650

Greatest Common Factor of Numerators i.e. GCF of 38,80,650 is 2 .

LCM of Denominators means LCM of 497,688,591 as per the given fractions.

LCM of 497,688,591 is 202084176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,80,650

GCF of Fractions 38/497,80/688,650/591 is 2/202084176

2 38, 80, 650
19, 40, 325

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,80,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,80,650 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 38,80,650 . The biggest common factor number is the GCF number.
So the greatest common factor 38,80,650 is 2.

Lets's calculate LCM of 497,688,591

Given numbers has no common factors except 1. So, there LCM is their product i.e 202084176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/202084176

Therefore, the GCF of Fractions 38/497,80/688,650/591 is 2/202084176

Least Common Multiple of 497,688,591 with GCF Formula

Least Common Multiple of 497,688,591 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 497,688,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,688,591) = 1

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

GCF(497,688,591) x common factors =1 x 1 = 1

LCM(497,688,591) = ( 497 × 688 × 591 ) / 1

LCM(497,688,591) = 202084176 / 1

LCM(497,688,591) = 202084176


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 38/497, 80/688, 650/591

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 38/497, 80/688, 650/591?

Answer: GCF of Numerators as per given numbers 38/497, 80/688, 650/591 is

GCF of Numerators i.e. for 38,80,650 is 2

LCM of denominators i.e. for 497,688,591 is 202084176.

Thus, GCF of Fractions is 2/202084176.Finally, GCF of Fractions for 38/497, 80/688, 650/591 is 2/202084176.