Greatest Common Factor of 543/669, 543/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/669, 543/860

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 543/669,543/860

Given fractions are 543/669,543/860

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 543,543

Greatest Common Factor of Numerators i.e. GCF of 543,543 is 543 .

LCM of Denominators means LCM of 669,860 as per the given fractions.

LCM of 669,860 is 575340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,543

GCF of Fractions 543/669,543/860 is 543/575340

3 543, 543
181 181, 181
1, 1

∴ So the GCF of the given numbers is 3 x 181 = 543

Greatest Common Factor of 543,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,543 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 543,543 . The biggest common factor number is the GCF number.
So the greatest common factor 543,543 is 543.

Lets's calculate LCM of 669,860

Given numbers has no common factors except 1. So, there LCM is their product i.e 575340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 543/575340

Therefore, the GCF of Fractions 543/669,543/860 is 543/575340

Least Common Multiple of 669,860 with GCF Formula

Least Common Multiple of 669,860 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 669,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,860) = 1

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

GCF(669,860) x common factors =1 x 1 = 1

LCM(669,860) = ( 669 × 860 ) / 1

LCM(669,860) = 575340 / 1

LCM(669,860) = 575340


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 543/669, 543/860

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 543/669, 543/860?

Answer: GCF of Numerators as per given numbers 543/669, 543/860 is

GCF of Numerators i.e. for 543,543 is 543

LCM of denominators i.e. for 669,860 is 575340.

Thus, GCF of Fractions is 543/575340.Finally, GCF of Fractions for 543/669, 543/860 is 543/575340.