Greatest Common Factor of 1160/496, 2880/8542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1160/496, 2880/8542

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 1160/496,2880/8542

Given fractions are 1160/496,2880/8542

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 1160,2880

Greatest Common Factor of Numerators i.e. GCF of 1160,2880 is 40 .

LCM of Denominators means LCM of 496,8542 as per the given fractions.

LCM of 496,8542 is 2118416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1160,2880

GCF of Fractions 1160/496,2880/8542 is 40/2118416

2 1160, 2880
2 580, 1440
2 290, 720
5 145, 360
29, 72

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 1160,2880 By Matching Biggest Common Factor Method

Greatest Common Factor of 1160,2880 By Matching Biggest Common Factor Method

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880

Greatest Common Factor

We found the factors 1160,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 1160,2880 is 40.

Lets's calculate LCM of 496,8542

2 496, 8542
248, 4271

∴ So the LCM of the given numbers is 2 x 248 x 4271 = 2118416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/2118416

Therefore, the GCF of Fractions 1160/496,2880/8542 is 40/2118416

Least Common Multiple of 496,8542 with GCF Formula

Least Common Multiple of 496,8542 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 496,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,8542) = 2

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

GCF(496,8542) x common factors =2 x 1 = 2

LCM(496,8542) = ( 496 × 8542 ) / 2

LCM(496,8542) = 4236832 / 2

LCM(496,8542) = 2118416


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 1160/496, 2880/8542

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 1160/496, 2880/8542?

Answer: GCF of Numerators as per given numbers 1160/496, 2880/8542 is

GCF of Numerators i.e. for 1160,2880 is 40

LCM of denominators i.e. for 496,8542 is 2118416.

Thus, GCF of Fractions is 40/2118416.Finally, GCF of Fractions for 1160/496, 2880/8542 is 40/2118416.