Greatest Common Factor of 61/568, 46/481, 930/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/568, 46/481, 930/998

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 61/568,46/481,930/998

Given fractions are 61/568,46/481,930/998

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 61,46,930

Greatest Common Factor of Numerators i.e. GCF of 61,46,930 is 1 .

LCM of Denominators means LCM of 568,481,998 as per the given fractions.

LCM of 568,481,998 is 136330792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,46,930

GCF of Fractions 61/568,46/481,930/998 is 1/136330792

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

Greatest Common Factor of 61,46,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,46,930 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 61,46,930 . The biggest common factor number is the GCF number.
So the greatest common factor 61,46,930 is 1.

Lets's calculate LCM of 568,481,998

2 568, 481, 998
284, 481, 499

∴ So the LCM of the given numbers is 2 x 284 x 481 x 499 = 136330792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136330792

Therefore, the GCF of Fractions 61/568,46/481,930/998 is 1/136330792

Least Common Multiple of 568,481,998 with GCF Formula

Least Common Multiple of 568,481,998 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 568,481,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,481,998) = 1

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

GCF(568,481,998) x common factors =1 x 2 = 2

LCM(568,481,998) = ( 568 × 481 × 998 ) / 2

LCM(568,481,998) = 272661584 / 2

LCM(568,481,998) = 136330792


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 61/568, 46/481, 930/998

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 61/568, 46/481, 930/998?

Answer: GCF of Numerators as per given numbers 61/568, 46/481, 930/998 is

GCF of Numerators i.e. for 61,46,930 is 1

LCM of denominators i.e. for 568,481,998 is 136330792.

Thus, GCF of Fractions is 1/136330792.Finally, GCF of Fractions for 61/568, 46/481, 930/998 is 1/136330792.