Greatest Common Factor of 1152/920, 5206/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1152/920, 5206/282

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 1152/920,5206/282

Given fractions are 1152/920,5206/282

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 1152,5206

Greatest Common Factor of Numerators i.e. GCF of 1152,5206 is 2 .

LCM of Denominators means LCM of 920,282 as per the given fractions.

LCM of 920,282 is 129720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1152,5206

GCF of Fractions 1152/920,5206/282 is 2/129720

2 1152, 5206
576, 2603

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

Greatest Common Factor of 1152,5206 By Matching Biggest Common Factor Method

Greatest Common Factor of 1152,5206 By Matching Biggest Common Factor Method

Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152

Factors of 5206

List of positive integer factors of 5206 that divides 5206 without a remainder.

1,2,19,38,137,274,2603,5206

Greatest Common Factor

We found the factors 1152,5206 . The biggest common factor number is the GCF number.
So the greatest common factor 1152,5206 is 2.

Lets's calculate LCM of 920,282

2 920, 282
460, 141

∴ So the LCM of the given numbers is 2 x 460 x 141 = 129720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129720

Therefore, the GCF of Fractions 1152/920,5206/282 is 2/129720

Least Common Multiple of 920,282 with GCF Formula

Least Common Multiple of 920,282 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 920,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,282) = 2

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

GCF(920,282) x common factors =2 x 1 = 2

LCM(920,282) = ( 920 × 282 ) / 2

LCM(920,282) = 259440 / 2

LCM(920,282) = 129720


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 1152/920, 5206/282

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 1152/920, 5206/282?

Answer: GCF of Numerators as per given numbers 1152/920, 5206/282 is

GCF of Numerators i.e. for 1152,5206 is 2

LCM of denominators i.e. for 920,282 is 129720.

Thus, GCF of Fractions is 2/129720.Finally, GCF of Fractions for 1152/920, 5206/282 is 2/129720.