Greatest Common Factor of 360/80, 400/55, 829/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/80, 400/55, 829/27

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 360/80,400/55,829/27

Given fractions are 360/80,400/55,829/27

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 360,400,829

Greatest Common Factor of Numerators i.e. GCF of 360,400,829 is 1 .

LCM of Denominators means LCM of 80,55,27 as per the given fractions.

LCM of 80,55,27 is 23760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,400,829

GCF of Fractions 360/80,400/55,829/27 is 1/23760

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

Greatest Common Factor of 360,400,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,400,829 By Matching Biggest Common Factor Method

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

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 360,400,829 . The biggest common factor number is the GCF number.
So the greatest common factor 360,400,829 is 1.

Lets's calculate LCM of 80,55,27

5 80, 55, 27
16, 11, 27

∴ So the LCM of the given numbers is 5 x 16 x 11 x 27 = 23760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23760

Therefore, the GCF of Fractions 360/80,400/55,829/27 is 1/23760

Least Common Multiple of 80,55,27 with GCF Formula

Least Common Multiple of 80,55,27 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 80,55,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,55,27) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(80,55,27) x common factors =1 x 5 = 5

LCM(80,55,27) = ( 80 × 55 × 27 ) / 5

LCM(80,55,27) = 118800 / 5

LCM(80,55,27) = 23760


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 360/80, 400/55, 829/27

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 360/80, 400/55, 829/27?

Answer: GCF of Numerators as per given numbers 360/80, 400/55, 829/27 is

GCF of Numerators i.e. for 360,400,829 is 1

LCM of denominators i.e. for 80,55,27 is 23760.

Thus, GCF of Fractions is 1/23760.Finally, GCF of Fractions for 360/80, 400/55, 829/27 is 1/23760.