Greatest Common Factor of 10/46, 86/72, 54/18, 14/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/46, 86/72, 54/18, 14/752

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 10/46,86/72,54/18,14/752

Given fractions are 10/46,86/72,54/18,14/752

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 10,86,54,14

Greatest Common Factor of Numerators i.e. GCF of 10,86,54,14 is 2 .

LCM of Denominators means LCM of 46,72,18,752 as per the given fractions.

LCM of 46,72,18,752 is 155664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,86,54,14

GCF of Fractions 10/46,86/72,54/18,14/752 is 2/155664

2 10, 86, 54, 14
5, 43, 27, 7

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 10,86,54,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,86,54,14 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 10,86,54,14 . The biggest common factor number is the GCF number.
So the greatest common factor 10,86,54,14 is 2.

Lets's calculate LCM of 46,72,18,752

2 46, 72, 18, 752
2 23, 36, 9, 376
2 23, 18, 9, 188
3 23, 9, 9, 94
3 23, 3, 3, 94
23, 1, 1, 94

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 1 x 1 x 94 = 155664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155664

Therefore, the GCF of Fractions 10/46,86/72,54/18,14/752 is 2/155664

Least Common Multiple of 46,72,18,752 with GCF Formula

Least Common Multiple of 46,72,18,752 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 46,72,18,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,72,18,752) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(46,72,18,752) x common factors =2 x 144 = 288

LCM(46,72,18,752) = ( 46 × 72 × 18 × 752 ) / 288

LCM(46,72,18,752) = 44831232 / 288

LCM(46,72,18,752) = 155664


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 10/46, 86/72, 54/18, 14/752

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 10/46, 86/72, 54/18, 14/752?

Answer: GCF of Numerators as per given numbers 10/46, 86/72, 54/18, 14/752 is

GCF of Numerators i.e. for 10,86,54,14 is 2

LCM of denominators i.e. for 46,72,18,752 is 155664.

Thus, GCF of Fractions is 2/155664.Finally, GCF of Fractions for 10/46, 86/72, 54/18, 14/752 is 2/155664.