Greatest Common Factor of 3/78, 16/16, 58/987, 731/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/78, 16/16, 58/987, 731/663

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 3/78,16/16,58/987,731/663

Given fractions are 3/78,16/16,58/987,731/663

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 3,16,58,731

Greatest Common Factor of Numerators i.e. GCF of 3,16,58,731 is 1 .

LCM of Denominators means LCM of 78,16,987,663 as per the given fractions.

LCM of 78,16,987,663 is 3490032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,16,58,731

GCF of Fractions 3/78,16/16,58/987,731/663 is 1/3490032

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

Greatest Common Factor of 3,16,58,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,16,58,731 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 3,16,58,731 . The biggest common factor number is the GCF number.
So the greatest common factor 3,16,58,731 is 1.

Lets's calculate LCM of 78,16,987,663

2 78, 16, 987, 663
3 39, 8, 987, 663
13 13, 8, 329, 221
1, 8, 329, 17

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 8 x 329 x 17 = 3490032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3490032

Therefore, the GCF of Fractions 3/78,16/16,58/987,731/663 is 1/3490032

Least Common Multiple of 78,16,987,663 with GCF Formula

Least Common Multiple of 78,16,987,663 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 78,16,987,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,16,987,663) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(78,16,987,663) x common factors =1 x 234 = 234

LCM(78,16,987,663) = ( 78 × 16 × 987 × 663 ) / 234

LCM(78,16,987,663) = 816667488 / 234

LCM(78,16,987,663) = 3490032


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 3/78, 16/16, 58/987, 731/663

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 3/78, 16/16, 58/987, 731/663?

Answer: GCF of Numerators as per given numbers 3/78, 16/16, 58/987, 731/663 is

GCF of Numerators i.e. for 3,16,58,731 is 1

LCM of denominators i.e. for 78,16,987,663 is 3490032.

Thus, GCF of Fractions is 1/3490032.Finally, GCF of Fractions for 3/78, 16/16, 58/987, 731/663 is 1/3490032.