Greatest Common Factor of 5456/587, 1066/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5456/587, 1066/492

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 5456/587,1066/492

Given fractions are 5456/587,1066/492

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 5456,1066

Greatest Common Factor of Numerators i.e. GCF of 5456,1066 is 2 .

LCM of Denominators means LCM of 587,492 as per the given fractions.

LCM of 587,492 is 288804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5456,1066

GCF of Fractions 5456/587,1066/492 is 2/288804

2 5456, 1066
2728, 533

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

Greatest Common Factor of 5456,1066 By Matching Biggest Common Factor Method

Greatest Common Factor of 5456,1066 By Matching Biggest Common Factor Method

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1,2,13,26,41,82,533,1066

Greatest Common Factor

We found the factors 5456,1066 . The biggest common factor number is the GCF number.
So the greatest common factor 5456,1066 is 2.

Lets's calculate LCM of 587,492

Given numbers has no common factors except 1. So, there LCM is their product i.e 288804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288804

Therefore, the GCF of Fractions 5456/587,1066/492 is 2/288804

Least Common Multiple of 587,492 with GCF Formula

Least Common Multiple of 587,492 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 587,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,492) = 1

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

GCF(587,492) x common factors =1 x 1 = 1

LCM(587,492) = ( 587 × 492 ) / 1

LCM(587,492) = 288804 / 1

LCM(587,492) = 288804


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 5456/587, 1066/492

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 5456/587, 1066/492?

Answer: GCF of Numerators as per given numbers 5456/587, 1066/492 is

GCF of Numerators i.e. for 5456,1066 is 2

LCM of denominators i.e. for 587,492 is 288804.

Thus, GCF of Fractions is 2/288804.Finally, GCF of Fractions for 5456/587, 1066/492 is 2/288804.