Greatest Common Factor of 82/29, 84/702, 360/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/29, 84/702, 360/943

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 82/29,84/702,360/943

Given fractions are 82/29,84/702,360/943

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 82,84,360

Greatest Common Factor of Numerators i.e. GCF of 82,84,360 is 2 .

LCM of Denominators means LCM of 29,702,943 as per the given fractions.

LCM of 29,702,943 is 19197594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,84,360

GCF of Fractions 82/29,84/702,360/943 is 2/19197594

2 82, 84, 360
41, 42, 180

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

Greatest Common Factor of 82,84,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,84,360 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 82,84,360 . The biggest common factor number is the GCF number.
So the greatest common factor 82,84,360 is 2.

Lets's calculate LCM of 29,702,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 19197594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19197594

Therefore, the GCF of Fractions 82/29,84/702,360/943 is 2/19197594

Least Common Multiple of 29,702,943 with GCF Formula

Least Common Multiple of 29,702,943 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 29,702,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,702,943) = 1

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

GCF(29,702,943) x common factors =1 x 1 = 1

LCM(29,702,943) = ( 29 × 702 × 943 ) / 1

LCM(29,702,943) = 19197594 / 1

LCM(29,702,943) = 19197594


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 82/29, 84/702, 360/943

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 82/29, 84/702, 360/943?

Answer: GCF of Numerators as per given numbers 82/29, 84/702, 360/943 is

GCF of Numerators i.e. for 82,84,360 is 2

LCM of denominators i.e. for 29,702,943 is 19197594.

Thus, GCF of Fractions is 2/19197594.Finally, GCF of Fractions for 82/29, 84/702, 360/943 is 2/19197594.