Greatest Common Factor of 845/72, 416/71, 347/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/72, 416/71, 347/13

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 845/72,416/71,347/13

Given fractions are 845/72,416/71,347/13

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 845,416,347

Greatest Common Factor of Numerators i.e. GCF of 845,416,347 is 1 .

LCM of Denominators means LCM of 72,71,13 as per the given fractions.

LCM of 72,71,13 is 66456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,416,347

GCF of Fractions 845/72,416/71,347/13 is 1/66456

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

Greatest Common Factor of 845,416,347 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,416,347 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Greatest Common Factor

We found the factors 845,416,347 . The biggest common factor number is the GCF number.
So the greatest common factor 845,416,347 is 1.

Lets's calculate LCM of 72,71,13

Given numbers has no common factors except 1. So, there LCM is their product i.e 66456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66456

Therefore, the GCF of Fractions 845/72,416/71,347/13 is 1/66456

Least Common Multiple of 72,71,13 with GCF Formula

Least Common Multiple of 72,71,13 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 72,71,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,71,13) = 1

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

GCF(72,71,13) x common factors =1 x 1 = 1

LCM(72,71,13) = ( 72 × 71 × 13 ) / 1

LCM(72,71,13) = 66456 / 1

LCM(72,71,13) = 66456


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 845/72, 416/71, 347/13

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 845/72, 416/71, 347/13?

Answer: GCF of Numerators as per given numbers 845/72, 416/71, 347/13 is

GCF of Numerators i.e. for 845,416,347 is 1

LCM of denominators i.e. for 72,71,13 is 66456.

Thus, GCF of Fractions is 1/66456.Finally, GCF of Fractions for 845/72, 416/71, 347/13 is 1/66456.