Greatest Common Factor of 708/58, 568/54, 243/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 708/58, 568/54, 243/962

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 708/58,568/54,243/962

Given fractions are 708/58,568/54,243/962

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 708,568,243

Greatest Common Factor of Numerators i.e. GCF of 708,568,243 is 1 .

LCM of Denominators means LCM of 58,54,962 as per the given fractions.

LCM of 58,54,962 is 753246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,568,243

GCF of Fractions 708/58,568/54,243/962 is 1/753246

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

Greatest Common Factor of 708,568,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,568,243 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 708,568,243 . The biggest common factor number is the GCF number.
So the greatest common factor 708,568,243 is 1.


Lets's calculate LCM of 58,54,962

2 58, 54, 962
29, 27, 481

∴ So the LCM of the given numbers is 2 x 29 x 27 x 481 = 753246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/753246

Therefore, the GCF of Fractions 708/58,568/54,243/962 is 1/753246

Least Common Multiple of 58,54,962 with GCF Formula

Least Common Multiple of 58,54,962 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 58,54,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,54,962) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,54,962) x common factors =2 x 2 = 4

LCM(58,54,962) = ( 58 × 54 × 962 ) / 4

LCM(58,54,962) = 3012984 / 4

LCM(58,54,962) = 753246


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 708/58, 568/54, 243/962

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 708/58, 568/54, 243/962?

Answer: GCF of Numerators as per given numbers 708/58, 568/54, 243/962 is

GCF of Numerators i.e. for 708,568,243 is 1

LCM of denominators i.e. for 58,54,962 is 753246.

Thus, GCF of Fractions is 1/753246.Finally, GCF of Fractions for 708/58, 568/54, 243/962 is 1/753246.