Greatest Common Factor of 423/760, 1192/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 423/760, 1192/460

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 423/760,1192/460

Given fractions are 423/760,1192/460

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 423,1192

Greatest Common Factor of Numerators i.e. GCF of 423,1192 is 1 .

LCM of Denominators means LCM of 760,460 as per the given fractions.

LCM of 760,460 is 17480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 423,1192

GCF of Fractions 423/760,1192/460 is 1/17480

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

Greatest Common Factor of 423,1192 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,1192 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1,2,4,8,149,298,596,1192

Greatest Common Factor

We found the factors 423,1192 . The biggest common factor number is the GCF number.
So the greatest common factor 423,1192 is 1.

Lets's calculate LCM of 760,460

2 760, 460
2 380, 230
5 190, 115
38, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 38 x 23 = 17480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17480

Therefore, the GCF of Fractions 423/760,1192/460 is 1/17480

Least Common Multiple of 760,460 with GCF Formula

Least Common Multiple of 760,460 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 760,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,460) = 20

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

GCF(760,460) x common factors =20 x 1 = 20

LCM(760,460) = ( 760 × 460 ) / 20

LCM(760,460) = 349600 / 20

LCM(760,460) = 17480


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 423/760, 1192/460

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 423/760, 1192/460?

Answer: GCF of Numerators as per given numbers 423/760, 1192/460 is

GCF of Numerators i.e. for 423,1192 is 1

LCM of denominators i.e. for 760,460 is 17480.

Thus, GCF of Fractions is 1/17480.Finally, GCF of Fractions for 423/760, 1192/460 is 1/17480.