Greatest Common Factor of 80/87, 38/78, 140/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/87, 38/78, 140/710

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 80/87,38/78,140/710

Given fractions are 80/87,38/78,140/710

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 80,38,140

Greatest Common Factor of Numerators i.e. GCF of 80,38,140 is 2 .

LCM of Denominators means LCM of 87,78,710 as per the given fractions.

LCM of 87,78,710 is 803010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,38,140

GCF of Fractions 80/87,38/78,140/710 is 2/803010

2 80, 38, 140
40, 19, 70

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

Greatest Common Factor of 80,38,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,38,140 By Matching Biggest Common Factor Method

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 38

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

1,2,19,38

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 80,38,140 . The biggest common factor number is the GCF number.
So the greatest common factor 80,38,140 is 2.

Lets's calculate LCM of 87,78,710

2 87, 78, 710
3 87, 39, 355
29, 13, 355

∴ So the LCM of the given numbers is 2 x 3 x 29 x 13 x 355 = 803010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/803010

Therefore, the GCF of Fractions 80/87,38/78,140/710 is 2/803010

Least Common Multiple of 87,78,710 with GCF Formula

Least Common Multiple of 87,78,710 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 87,78,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,78,710) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,78,710) x common factors =1 x 6 = 6

LCM(87,78,710) = ( 87 × 78 × 710 ) / 6

LCM(87,78,710) = 4818060 / 6

LCM(87,78,710) = 803010


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 80/87, 38/78, 140/710

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 80/87, 38/78, 140/710?

Answer: GCF of Numerators as per given numbers 80/87, 38/78, 140/710 is

GCF of Numerators i.e. for 80,38,140 is 2

LCM of denominators i.e. for 87,78,710 is 803010.

Thus, GCF of Fractions is 2/803010.Finally, GCF of Fractions for 80/87, 38/78, 140/710 is 2/803010.