Greatest Common Factor of 482/43, 506/43, 973/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 482/43, 506/43, 973/61

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 482/43,506/43,973/61

Given fractions are 482/43,506/43,973/61

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 482,506,973

Greatest Common Factor of Numerators i.e. GCF of 482,506,973 is 1 .

LCM of Denominators means LCM of 43,43,61 as per the given fractions.

LCM of 43,43,61 is 2623 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,506,973

GCF of Fractions 482/43,506/43,973/61 is 1/2623

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

Greatest Common Factor of 482,506,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,506,973 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 482,506,973 . The biggest common factor number is the GCF number.
So the greatest common factor 482,506,973 is 1.

Lets's calculate LCM of 43,43,61

43 43, 43, 61
1, 1, 61

∴ So the LCM of the given numbers is 43 x 1 x 1 x 61 = 2623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2623

Therefore, the GCF of Fractions 482/43,506/43,973/61 is 1/2623

Least Common Multiple of 43,43,61 with GCF Formula

Least Common Multiple of 43,43,61 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 43,43,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,43,61) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(43,43,61) x common factors =1 x 43 = 43

LCM(43,43,61) = ( 43 × 43 × 61 ) / 43

LCM(43,43,61) = 112789 / 43

LCM(43,43,61) = 2623


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 482/43, 506/43, 973/61

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 482/43, 506/43, 973/61?

Answer: GCF of Numerators as per given numbers 482/43, 506/43, 973/61 is

GCF of Numerators i.e. for 482,506,973 is 1

LCM of denominators i.e. for 43,43,61 is 2623.

Thus, GCF of Fractions is 1/2623.Finally, GCF of Fractions for 482/43, 506/43, 973/61 is 1/2623.