Greatest Common Factor of 23/662, 636/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/662, 636/582

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 23/662,636/582

Given fractions are 23/662,636/582

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 23,636

Greatest Common Factor of Numerators i.e. GCF of 23,636 is 1 .

LCM of Denominators means LCM of 662,582 as per the given fractions.

LCM of 662,582 is 192642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,636

GCF of Fractions 23/662,636/582 is 1/192642

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

Greatest Common Factor of 23,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,636 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 23,636 . The biggest common factor number is the GCF number.
So the greatest common factor 23,636 is 1.

Lets's calculate LCM of 662,582

2 662, 582
331, 291

∴ So the LCM of the given numbers is 2 x 331 x 291 = 192642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192642

Therefore, the GCF of Fractions 23/662,636/582 is 1/192642

Least Common Multiple of 662,582 with GCF Formula

Least Common Multiple of 662,582 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 662,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,582) = 2

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

GCF(662,582) x common factors =2 x 1 = 2

LCM(662,582) = ( 662 × 582 ) / 2

LCM(662,582) = 385284 / 2

LCM(662,582) = 192642


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 23/662, 636/582

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 23/662, 636/582?

Answer: GCF of Numerators as per given numbers 23/662, 636/582 is

GCF of Numerators i.e. for 23,636 is 1

LCM of denominators i.e. for 662,582 is 192642.

Thus, GCF of Fractions is 1/192642.Finally, GCF of Fractions for 23/662, 636/582 is 1/192642.