Greatest Common Factor of 3228/177, 2973/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3228/177, 2973/495

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 3228/177,2973/495

Given fractions are 3228/177,2973/495

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 3228,2973

Greatest Common Factor of Numerators i.e. GCF of 3228,2973 is 3 .

LCM of Denominators means LCM of 177,495 as per the given fractions.

LCM of 177,495 is 29205 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3228,2973

GCF of Fractions 3228/177,2973/495 is 3/29205

3 3228, 2973
1076, 991

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3228,2973 By Matching Biggest Common Factor Method

Greatest Common Factor of 3228,2973 By Matching Biggest Common Factor Method

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1,3,991,2973

Greatest Common Factor

We found the factors 3228,2973 . The biggest common factor number is the GCF number.
So the greatest common factor 3228,2973 is 3.

Lets's calculate LCM of 177,495

3 177, 495
59, 165

∴ So the LCM of the given numbers is 3 x 59 x 165 = 29205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29205

Therefore, the GCF of Fractions 3228/177,2973/495 is 3/29205

Least Common Multiple of 177,495 with GCF Formula

Least Common Multiple of 177,495 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 177,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,495) = 3

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

GCF(177,495) x common factors =3 x 1 = 3

LCM(177,495) = ( 177 × 495 ) / 3

LCM(177,495) = 87615 / 3

LCM(177,495) = 29205


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 3228/177, 2973/495

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 3228/177, 2973/495?

Answer: GCF of Numerators as per given numbers 3228/177, 2973/495 is

GCF of Numerators i.e. for 3228,2973 is 3

LCM of denominators i.e. for 177,495 is 29205.

Thus, GCF of Fractions is 3/29205.Finally, GCF of Fractions for 3228/177, 2973/495 is 3/29205.