Greatest Common Factor of 552/98, 943/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/98, 943/563

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 552/98,943/563

Given fractions are 552/98,943/563

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 552,943

Greatest Common Factor of Numerators i.e. GCF of 552,943 is 23 .

LCM of Denominators means LCM of 98,563 as per the given fractions.

LCM of 98,563 is 55174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,943

GCF of Fractions 552/98,943/563 is 23/55174

23 552, 943
24, 41

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 552,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,943 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 552,943 . The biggest common factor number is the GCF number.
So the greatest common factor 552,943 is 23.

Lets's calculate LCM of 98,563

Given numbers has no common factors except 1. So, there LCM is their product i.e 55174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/55174

Therefore, the GCF of Fractions 552/98,943/563 is 23/55174

Least Common Multiple of 98,563 with GCF Formula

Least Common Multiple of 98,563 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 98,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,563) = 1

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

GCF(98,563) x common factors =1 x 1 = 1

LCM(98,563) = ( 98 × 563 ) / 1

LCM(98,563) = 55174 / 1

LCM(98,563) = 55174


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 552/98, 943/563

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 552/98, 943/563?

Answer: GCF of Numerators as per given numbers 552/98, 943/563 is

GCF of Numerators i.e. for 552,943 is 23

LCM of denominators i.e. for 98,563 is 55174.

Thus, GCF of Fractions is 23/55174.Finally, GCF of Fractions for 552/98, 943/563 is 23/55174.