Greatest Common Factor of 204/577, 969/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/577, 969/554

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 204/577,969/554

Given fractions are 204/577,969/554

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 204,969

Greatest Common Factor of Numerators i.e. GCF of 204,969 is 51 .

LCM of Denominators means LCM of 577,554 as per the given fractions.

LCM of 577,554 is 319658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,969

GCF of Fractions 204/577,969/554 is 51/319658

3 204, 969
17 68, 323
4, 19

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 204,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,969 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 204,969 . The biggest common factor number is the GCF number.
So the greatest common factor 204,969 is 51.

Lets's calculate LCM of 577,554

Given numbers has no common factors except 1. So, there LCM is their product i.e 319658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/319658

Therefore, the GCF of Fractions 204/577,969/554 is 51/319658

Least Common Multiple of 577,554 with GCF Formula

Least Common Multiple of 577,554 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 577,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,554) = 1

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

GCF(577,554) x common factors =1 x 1 = 1

LCM(577,554) = ( 577 × 554 ) / 1

LCM(577,554) = 319658 / 1

LCM(577,554) = 319658


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 204/577, 969/554

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 204/577, 969/554?

Answer: GCF of Numerators as per given numbers 204/577, 969/554 is

GCF of Numerators i.e. for 204,969 is 51

LCM of denominators i.e. for 577,554 is 319658.

Thus, GCF of Fractions is 51/319658.Finally, GCF of Fractions for 204/577, 969/554 is 51/319658.