Greatest Common Factor of 5423/832, 5575/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5423/832, 5575/549

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 5423/832,5575/549

Given fractions are 5423/832,5575/549

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 5423,5575

Greatest Common Factor of Numerators i.e. GCF of 5423,5575 is 1 .

LCM of Denominators means LCM of 832,549 as per the given fractions.

LCM of 832,549 is 456768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5423,5575

GCF of Fractions 5423/832,5575/549 is 1/456768

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

Greatest Common Factor of 5423,5575 By Matching Biggest Common Factor Method

Greatest Common Factor of 5423,5575 By Matching Biggest Common Factor Method

Factors of 5423

List of positive integer factors of 5423 that divides 5423 without a remainder.

1,11,17,29,187,319,493,5423

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1,5,25,223,1115,5575

Greatest Common Factor

We found the factors 5423,5575 . The biggest common factor number is the GCF number.
So the greatest common factor 5423,5575 is 1.

Lets's calculate LCM of 832,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 456768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456768

Therefore, the GCF of Fractions 5423/832,5575/549 is 1/456768

Least Common Multiple of 832,549 with GCF Formula

Least Common Multiple of 832,549 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 832,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,549) = 1

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

GCF(832,549) x common factors =1 x 1 = 1

LCM(832,549) = ( 832 × 549 ) / 1

LCM(832,549) = 456768 / 1

LCM(832,549) = 456768


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 5423/832, 5575/549

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 5423/832, 5575/549?

Answer: GCF of Numerators as per given numbers 5423/832, 5575/549 is

GCF of Numerators i.e. for 5423,5575 is 1

LCM of denominators i.e. for 832,549 is 456768.

Thus, GCF of Fractions is 1/456768.Finally, GCF of Fractions for 5423/832, 5575/549 is 1/456768.