Greatest Common Factor of 2163/836, 1628/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2163/836, 1628/253

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 2163/836,1628/253

Given fractions are 2163/836,1628/253

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 2163,1628

Greatest Common Factor of Numerators i.e. GCF of 2163,1628 is 1 .

LCM of Denominators means LCM of 836,253 as per the given fractions.

LCM of 836,253 is 19228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2163,1628

GCF of Fractions 2163/836,1628/253 is 1/19228

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

Greatest Common Factor of 2163,1628 By Matching Biggest Common Factor Method

Greatest Common Factor of 2163,1628 By Matching Biggest Common Factor Method

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1,3,7,21,103,309,721,2163

Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1,2,4,11,22,37,44,74,148,407,814,1628

Greatest Common Factor

We found the factors 2163,1628 . The biggest common factor number is the GCF number.
So the greatest common factor 2163,1628 is 1.

Lets's calculate LCM of 836,253

11 836, 253
76, 23

∴ So the LCM of the given numbers is 11 x 76 x 23 = 19228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19228

Therefore, the GCF of Fractions 2163/836,1628/253 is 1/19228

Least Common Multiple of 836,253 with GCF Formula

Least Common Multiple of 836,253 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 836,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,253) = 11

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

GCF(836,253) x common factors =11 x 1 = 11

LCM(836,253) = ( 836 × 253 ) / 11

LCM(836,253) = 211508 / 11

LCM(836,253) = 19228


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 2163/836, 1628/253

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 2163/836, 1628/253?

Answer: GCF of Numerators as per given numbers 2163/836, 1628/253 is

GCF of Numerators i.e. for 2163,1628 is 1

LCM of denominators i.e. for 836,253 is 19228.

Thus, GCF of Fractions is 1/19228.Finally, GCF of Fractions for 2163/836, 1628/253 is 1/19228.