Greatest Common Factor of 506/94, 543/21, 689/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/94, 543/21, 689/630

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 506/94,543/21,689/630

Given fractions are 506/94,543/21,689/630

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 506,543,689

Greatest Common Factor of Numerators i.e. GCF of 506,543,689 is 1 .

LCM of Denominators means LCM of 94,21,630 as per the given fractions.

LCM of 94,21,630 is 29610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,543,689

GCF of Fractions 506/94,543/21,689/630 is 1/29610

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

Greatest Common Factor of 506,543,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,543,689 By Matching Biggest Common Factor Method

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 543

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

1,3,181,543

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 506,543,689 . The biggest common factor number is the GCF number.
So the greatest common factor 506,543,689 is 1.

Lets's calculate LCM of 94,21,630

2 94, 21, 630
3 47, 21, 315
7 47, 7, 105
47, 1, 15

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 1 x 15 = 29610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29610

Therefore, the GCF of Fractions 506/94,543/21,689/630 is 1/29610

Least Common Multiple of 94,21,630 with GCF Formula

Least Common Multiple of 94,21,630 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 94,21,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,21,630) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(94,21,630) x common factors =1 x 42 = 42

LCM(94,21,630) = ( 94 × 21 × 630 ) / 42

LCM(94,21,630) = 1243620 / 42

LCM(94,21,630) = 29610


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 506/94, 543/21, 689/630

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 506/94, 543/21, 689/630?

Answer: GCF of Numerators as per given numbers 506/94, 543/21, 689/630 is

GCF of Numerators i.e. for 506,543,689 is 1

LCM of denominators i.e. for 94,21,630 is 29610.

Thus, GCF of Fractions is 1/29610.Finally, GCF of Fractions for 506/94, 543/21, 689/630 is 1/29610.