Greatest Common Factor of 38/87, 80/498, 810/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/87, 80/498, 810/535

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 38/87,80/498,810/535

Given fractions are 38/87,80/498,810/535

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 38,80,810

Greatest Common Factor of Numerators i.e. GCF of 38,80,810 is 2 .

LCM of Denominators means LCM of 87,498,535 as per the given fractions.

LCM of 87,498,535 is 7726470 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,80,810

GCF of Fractions 38/87,80/498,810/535 is 2/7726470

2 38, 80, 810
19, 40, 405

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

Greatest Common Factor of 38,80,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,80,810 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 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 38,80,810 . The biggest common factor number is the GCF number.
So the greatest common factor 38,80,810 is 2.

Lets's calculate LCM of 87,498,535

3 87, 498, 535
29, 166, 535

∴ So the LCM of the given numbers is 3 x 29 x 166 x 535 = 7726470

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7726470

Therefore, the GCF of Fractions 38/87,80/498,810/535 is 2/7726470

Least Common Multiple of 87,498,535 with GCF Formula

Least Common Multiple of 87,498,535 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 87,498,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,498,535) = 1

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

GCF(87,498,535) x common factors =1 x 3 = 3

LCM(87,498,535) = ( 87 × 498 × 535 ) / 3

LCM(87,498,535) = 23179410 / 3

LCM(87,498,535) = 7726470


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 38/87, 80/498, 810/535

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 38/87, 80/498, 810/535?

Answer: GCF of Numerators as per given numbers 38/87, 80/498, 810/535 is

GCF of Numerators i.e. for 38,80,810 is 2

LCM of denominators i.e. for 87,498,535 is 7726470.

Thus, GCF of Fractions is 2/7726470.Finally, GCF of Fractions for 38/87, 80/498, 810/535 is 2/7726470.