Greatest Common Factor of 46/987, 491/518, 755/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 46/987, 491/518, 755/594

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 46/987,491/518,755/594

Given fractions are 46/987,491/518,755/594

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 46,491,755

Greatest Common Factor of Numerators i.e. GCF of 46,491,755 is 1 .

LCM of Denominators means LCM of 987,518,594 as per the given fractions.

LCM of 987,518,594 is 7230762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 46,491,755

GCF of Fractions 46/987,491/518,755/594 is 1/7230762

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

Greatest Common Factor of 46,491,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,491,755 By Matching Biggest Common Factor Method

Factors of 46

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

1,2,23,46

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 46,491,755 . The biggest common factor number is the GCF number.
So the greatest common factor 46,491,755 is 1.

Lets's calculate LCM of 987,518,594

2 987, 518, 594
3 987, 259, 297
7 329, 259, 99
47, 37, 99

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 37 x 99 = 7230762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7230762

Therefore, the GCF of Fractions 46/987,491/518,755/594 is 1/7230762

Least Common Multiple of 987,518,594 with GCF Formula

Least Common Multiple of 987,518,594 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 987,518,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,518,594) = 1

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

GCF(987,518,594) x common factors =1 x 42 = 42

LCM(987,518,594) = ( 987 × 518 × 594 ) / 42

LCM(987,518,594) = 303692004 / 42

LCM(987,518,594) = 7230762


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 46/987, 491/518, 755/594

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 46/987, 491/518, 755/594?

Answer: GCF of Numerators as per given numbers 46/987, 491/518, 755/594 is

GCF of Numerators i.e. for 46,491,755 is 1

LCM of denominators i.e. for 987,518,594 is 7230762.

Thus, GCF of Fractions is 1/7230762.Finally, GCF of Fractions for 46/987, 491/518, 755/594 is 1/7230762.