Greatest Common Factor of 596/826, 1452/9424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/826, 1452/9424

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 596/826,1452/9424

Given fractions are 596/826,1452/9424

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 596,1452

Greatest Common Factor of Numerators i.e. GCF of 596,1452 is 4 .

LCM of Denominators means LCM of 826,9424 as per the given fractions.

LCM of 826,9424 is 3892112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,1452

GCF of Fractions 596/826,1452/9424 is 4/3892112

2 596, 1452
2 298, 726
149, 363

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 596,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,1452 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 596,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 596,1452 is 4.

Lets's calculate LCM of 826,9424

2 826, 9424
413, 4712

∴ So the LCM of the given numbers is 2 x 413 x 4712 = 3892112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3892112

Therefore, the GCF of Fractions 596/826,1452/9424 is 4/3892112

Least Common Multiple of 826,9424 with GCF Formula

Least Common Multiple of 826,9424 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 826,9424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,9424) = 2

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

GCF(826,9424) x common factors =2 x 1 = 2

LCM(826,9424) = ( 826 × 9424 ) / 2

LCM(826,9424) = 7784224 / 2

LCM(826,9424) = 3892112


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 596/826, 1452/9424

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 596/826, 1452/9424?

Answer: GCF of Numerators as per given numbers 596/826, 1452/9424 is

GCF of Numerators i.e. for 596,1452 is 4

LCM of denominators i.e. for 826,9424 is 3892112.

Thus, GCF of Fractions is 4/3892112.Finally, GCF of Fractions for 596/826, 1452/9424 is 4/3892112.