Greatest Common Factor of 5531/458, 3560/1308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5531/458, 3560/1308

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 5531/458,3560/1308

Given fractions are 5531/458,3560/1308

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 5531,3560

Greatest Common Factor of Numerators i.e. GCF of 5531,3560 is 1 .

LCM of Denominators means LCM of 458,1308 as per the given fractions.

LCM of 458,1308 is 299532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5531,3560

GCF of Fractions 5531/458,3560/1308 is 1/299532

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5531,3560 By Matching Biggest Common Factor Method

Greatest Common Factor of 5531,3560 By Matching Biggest Common Factor Method

Factors of 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1,5531

Factors of 3560

List of positive integer factors of 3560 that divides 3560 without a remainder.

1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560

Greatest Common Factor

We found the factors 5531,3560 . The biggest common factor number is the GCF number.
So the greatest common factor 5531,3560 is 1.

Lets's calculate LCM of 458,1308

2 458, 1308
229, 654

∴ So the LCM of the given numbers is 2 x 229 x 654 = 299532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299532

Therefore, the GCF of Fractions 5531/458,3560/1308 is 1/299532

Least Common Multiple of 458,1308 with GCF Formula

Least Common Multiple of 458,1308 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 458,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,1308) = 2

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

GCF(458,1308) x common factors =2 x 1 = 2

LCM(458,1308) = ( 458 × 1308 ) / 2

LCM(458,1308) = 599064 / 2

LCM(458,1308) = 299532


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 5531/458, 3560/1308

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 5531/458, 3560/1308?

Answer: GCF of Numerators as per given numbers 5531/458, 3560/1308 is

GCF of Numerators i.e. for 5531,3560 is 1

LCM of denominators i.e. for 458,1308 is 299532.

Thus, GCF of Fractions is 1/299532.Finally, GCF of Fractions for 5531/458, 3560/1308 is 1/299532.