Greatest Common Factor of 44/204, 67/904, 689/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/204, 67/904, 689/364

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 44/204,67/904,689/364

Given fractions are 44/204,67/904,689/364

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 44,67,689

Greatest Common Factor of Numerators i.e. GCF of 44,67,689 is 1 .

LCM of Denominators means LCM of 204,904,364 as per the given fractions.

LCM of 204,904,364 is 4195464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,67,689

GCF of Fractions 44/204,67/904,689/364 is 1/4195464

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

Greatest Common Factor of 44,67,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,67,689 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 44,67,689 . The biggest common factor number is the GCF number.
So the greatest common factor 44,67,689 is 1.

Lets's calculate LCM of 204,904,364

2 204, 904, 364
2 102, 452, 182
51, 226, 91

∴ So the LCM of the given numbers is 2 x 2 x 51 x 226 x 91 = 4195464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4195464

Therefore, the GCF of Fractions 44/204,67/904,689/364 is 1/4195464

Least Common Multiple of 204,904,364 with GCF Formula

Least Common Multiple of 204,904,364 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 204,904,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,904,364) = 4

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

GCF(204,904,364) x common factors =4 x 4 = 16

LCM(204,904,364) = ( 204 × 904 × 364 ) / 16

LCM(204,904,364) = 67127424 / 16

LCM(204,904,364) = 4195464


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 44/204, 67/904, 689/364

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 44/204, 67/904, 689/364?

Answer: GCF of Numerators as per given numbers 44/204, 67/904, 689/364 is

GCF of Numerators i.e. for 44,67,689 is 1

LCM of denominators i.e. for 204,904,364 is 4195464.

Thus, GCF of Fractions is 1/4195464.Finally, GCF of Fractions for 44/204, 67/904, 689/364 is 1/4195464.