Greatest Common Factor of 4769/468, 6213/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4769/468, 6213/423

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 4769/468,6213/423

Given fractions are 4769/468,6213/423

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 4769,6213

Greatest Common Factor of Numerators i.e. GCF of 4769,6213 is 19 .

LCM of Denominators means LCM of 468,423 as per the given fractions.

LCM of 468,423 is 21996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4769,6213

GCF of Fractions 4769/468,6213/423 is 19/21996

19 4769, 6213
251, 327

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4769,6213 By Matching Biggest Common Factor Method

Greatest Common Factor of 4769,6213 By Matching Biggest Common Factor Method

Factors of 4769

List of positive integer factors of 4769 that divides 4769 without a remainder.

1,19,251,4769

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1,3,19,57,109,327,2071,6213

Greatest Common Factor

We found the factors 4769,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 4769,6213 is 19.

Lets's calculate LCM of 468,423

3 468, 423
3 156, 141
52, 47

∴ So the LCM of the given numbers is 3 x 3 x 52 x 47 = 21996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/21996

Therefore, the GCF of Fractions 4769/468,6213/423 is 19/21996

Least Common Multiple of 468,423 with GCF Formula

Least Common Multiple of 468,423 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 468,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,423) = 9

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

GCF(468,423) x common factors =9 x 1 = 9

LCM(468,423) = ( 468 × 423 ) / 9

LCM(468,423) = 197964 / 9

LCM(468,423) = 21996


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 4769/468, 6213/423

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 4769/468, 6213/423?

Answer: GCF of Numerators as per given numbers 4769/468, 6213/423 is

GCF of Numerators i.e. for 4769,6213 is 19

LCM of denominators i.e. for 468,423 is 21996.

Thus, GCF of Fractions is 19/21996.Finally, GCF of Fractions for 4769/468, 6213/423 is 19/21996.