Greatest Common Factor of 845/64, 405/41, 200/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 845/64, 405/41, 200/364

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 845/64,405/41,200/364

Given fractions are 845/64,405/41,200/364

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 845,405,200

Greatest Common Factor of Numerators i.e. GCF of 845,405,200 is 5 .

LCM of Denominators means LCM of 64,41,364 as per the given fractions.

LCM of 64,41,364 is 238784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 845,405,200

GCF of Fractions 845/64,405/41,200/364 is 5/238784

5 845, 405, 200
169, 81, 40

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

Greatest Common Factor of 845,405,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,405,200 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 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

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

Greatest Common Factor

We found the factors 845,405,200 . The biggest common factor number is the GCF number.
So the greatest common factor 845,405,200 is 5.

Lets's calculate LCM of 64,41,364

2 64, 41, 364
2 32, 41, 182
16, 41, 91

∴ So the LCM of the given numbers is 2 x 2 x 16 x 41 x 91 = 238784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/238784

Therefore, the GCF of Fractions 845/64,405/41,200/364 is 5/238784

Least Common Multiple of 64,41,364 with GCF Formula

Least Common Multiple of 64,41,364 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 64,41,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,41,364) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,41,364) x common factors =1 x 4 = 4

LCM(64,41,364) = ( 64 × 41 × 364 ) / 4

LCM(64,41,364) = 955136 / 4

LCM(64,41,364) = 238784


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 845/64, 405/41, 200/364

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 845/64, 405/41, 200/364?

Answer: GCF of Numerators as per given numbers 845/64, 405/41, 200/364 is

GCF of Numerators i.e. for 845,405,200 is 5

LCM of denominators i.e. for 64,41,364 is 238784.

Thus, GCF of Fractions is 5/238784.Finally, GCF of Fractions for 845/64, 405/41, 200/364 is 5/238784.