Greatest Common Factor of 690/53, 360/29, 558/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/53, 360/29, 558/540

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 690/53,360/29,558/540

Given fractions are 690/53,360/29,558/540

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 690,360,558

Greatest Common Factor of Numerators i.e. GCF of 690,360,558 is 6 .

LCM of Denominators means LCM of 53,29,540 as per the given fractions.

LCM of 53,29,540 is 829980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,360,558

GCF of Fractions 690/53,360/29,558/540 is 6/829980

2 690, 360, 558
3 345, 180, 279
115, 60, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 690,360,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,360,558 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 690,360,558 . The biggest common factor number is the GCF number.
So the greatest common factor 690,360,558 is 6.

Lets's calculate LCM of 53,29,540

Given numbers has no common factors except 1. So, there LCM is their product i.e 829980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/829980

Therefore, the GCF of Fractions 690/53,360/29,558/540 is 6/829980

Least Common Multiple of 53,29,540 with GCF Formula

Least Common Multiple of 53,29,540 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 53,29,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,29,540) = 1

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

GCF(53,29,540) x common factors =1 x 1 = 1

LCM(53,29,540) = ( 53 × 29 × 540 ) / 1

LCM(53,29,540) = 829980 / 1

LCM(53,29,540) = 829980


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 690/53, 360/29, 558/540

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 690/53, 360/29, 558/540?

Answer: GCF of Numerators as per given numbers 690/53, 360/29, 558/540 is

GCF of Numerators i.e. for 690,360,558 is 6

LCM of denominators i.e. for 53,29,540 is 829980.

Thus, GCF of Fractions is 6/829980.Finally, GCF of Fractions for 690/53, 360/29, 558/540 is 6/829980.