Greatest Common Factor of 80/29, 875/31, 360/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/29, 875/31, 360/514

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 80/29,875/31,360/514

Given fractions are 80/29,875/31,360/514

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 80,875,360

Greatest Common Factor of Numerators i.e. GCF of 80,875,360 is 5 .

LCM of Denominators means LCM of 29,31,514 as per the given fractions.

LCM of 29,31,514 is 462086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,875,360

GCF of Fractions 80/29,875/31,360/514 is 5/462086

5 80, 875, 360
16, 175, 72

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 80,875,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,875,360 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 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 80,875,360 . The biggest common factor number is the GCF number.
So the greatest common factor 80,875,360 is 5.

Lets's calculate LCM of 29,31,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 462086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/462086

Therefore, the GCF of Fractions 80/29,875/31,360/514 is 5/462086

Least Common Multiple of 29,31,514 with GCF Formula

Least Common Multiple of 29,31,514 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 29,31,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,31,514) = 1

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

GCF(29,31,514) x common factors =1 x 1 = 1

LCM(29,31,514) = ( 29 × 31 × 514 ) / 1

LCM(29,31,514) = 462086 / 1

LCM(29,31,514) = 462086


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 80/29, 875/31, 360/514

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 80/29, 875/31, 360/514?

Answer: GCF of Numerators as per given numbers 80/29, 875/31, 360/514 is

GCF of Numerators i.e. for 80,875,360 is 5

LCM of denominators i.e. for 29,31,514 is 462086.

Thus, GCF of Fractions is 5/462086.Finally, GCF of Fractions for 80/29, 875/31, 360/514 is 5/462086.