Greatest Common Factor of 1156/552, 5865/7584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1156/552, 5865/7584

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 1156/552,5865/7584

Given fractions are 1156/552,5865/7584

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 1156,5865

Greatest Common Factor of Numerators i.e. GCF of 1156,5865 is 17 .

LCM of Denominators means LCM of 552,7584 as per the given fractions.

LCM of 552,7584 is 174432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1156,5865

GCF of Fractions 1156/552,5865/7584 is 17/174432

17 1156, 5865
68, 345

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1156,5865 By Matching Biggest Common Factor Method

Greatest Common Factor of 1156,5865 By Matching Biggest Common Factor Method

Factors of 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1,2,4,17,34,68,289,578,1156

Factors of 5865

List of positive integer factors of 5865 that divides 5865 without a remainder.

1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865

Greatest Common Factor

We found the factors 1156,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 1156,5865 is 17.

Lets's calculate LCM of 552,7584

2 552, 7584
2 276, 3792
2 138, 1896
3 69, 948
23, 316

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 316 = 174432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/174432

Therefore, the GCF of Fractions 1156/552,5865/7584 is 17/174432

Least Common Multiple of 552,7584 with GCF Formula

Least Common Multiple of 552,7584 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 552,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,7584) = 24

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

GCF(552,7584) x common factors =24 x 1 = 24

LCM(552,7584) = ( 552 × 7584 ) / 24

LCM(552,7584) = 4186368 / 24

LCM(552,7584) = 174432


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 1156/552, 5865/7584

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 1156/552, 5865/7584?

Answer: GCF of Numerators as per given numbers 1156/552, 5865/7584 is

GCF of Numerators i.e. for 1156,5865 is 17

LCM of denominators i.e. for 552,7584 is 174432.

Thus, GCF of Fractions is 17/174432.Finally, GCF of Fractions for 1156/552, 5865/7584 is 17/174432.