Greatest Common Factor of 562/63, 273/51, 190/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/63, 273/51, 190/43

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 562/63,273/51,190/43

Given fractions are 562/63,273/51,190/43

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 562,273,190

Greatest Common Factor of Numerators i.e. GCF of 562,273,190 is 1 .

LCM of Denominators means LCM of 63,51,43 as per the given fractions.

LCM of 63,51,43 is 46053 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,273,190

GCF of Fractions 562/63,273/51,190/43 is 1/46053

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

Greatest Common Factor of 562,273,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,273,190 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 562,273,190 . The biggest common factor number is the GCF number.
So the greatest common factor 562,273,190 is 1.

Lets's calculate LCM of 63,51,43

3 63, 51, 43
21, 17, 43

∴ So the LCM of the given numbers is 3 x 21 x 17 x 43 = 46053

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46053

Therefore, the GCF of Fractions 562/63,273/51,190/43 is 1/46053

Least Common Multiple of 63,51,43 with GCF Formula

Least Common Multiple of 63,51,43 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 63,51,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,51,43) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(63,51,43) x common factors =1 x 3 = 3

LCM(63,51,43) = ( 63 × 51 × 43 ) / 3

LCM(63,51,43) = 138159 / 3

LCM(63,51,43) = 46053


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 562/63, 273/51, 190/43

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 562/63, 273/51, 190/43?

Answer: GCF of Numerators as per given numbers 562/63, 273/51, 190/43 is

GCF of Numerators i.e. for 562,273,190 is 1

LCM of denominators i.e. for 63,51,43 is 46053.

Thus, GCF of Fractions is 1/46053.Finally, GCF of Fractions for 562/63, 273/51, 190/43 is 1/46053.