Greatest Common Factor of 55/58, 31/26, 24/77, 15/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/58, 31/26, 24/77, 15/462

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 55/58,31/26,24/77,15/462

Given fractions are 55/58,31/26,24/77,15/462

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 55,31,24,15

Greatest Common Factor of Numerators i.e. GCF of 55,31,24,15 is 1 .

LCM of Denominators means LCM of 58,26,77,462 as per the given fractions.

LCM of 58,26,77,462 is 174174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,31,24,15

GCF of Fractions 55/58,31/26,24/77,15/462 is 1/174174

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

Greatest Common Factor of 55,31,24,15 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,31,24,15 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Greatest Common Factor

We found the factors 55,31,24,15 . The biggest common factor number is the GCF number.
So the greatest common factor 55,31,24,15 is 1.

Lets's calculate LCM of 58,26,77,462

2 58, 26, 77, 462
7 29, 13, 77, 231
11 29, 13, 11, 33
29, 13, 1, 3

∴ So the LCM of the given numbers is 2 x 7 x 11 x 29 x 13 x 1 x 3 = 174174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174174

Therefore, the GCF of Fractions 55/58,31/26,24/77,15/462 is 1/174174

Least Common Multiple of 58,26,77,462 with GCF Formula

Least Common Multiple of 58,26,77,462 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 58,26,77,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,26,77,462) = 1

common factors(in case of two or more numbers have common factors) = 308

GCF(58,26,77,462) x common factors =1 x 308 = 308

LCM(58,26,77,462) = ( 58 × 26 × 77 × 462 ) / 308

LCM(58,26,77,462) = 53645592 / 308

LCM(58,26,77,462) = 174174


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 55/58, 31/26, 24/77, 15/462

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 55/58, 31/26, 24/77, 15/462?

Answer: GCF of Numerators as per given numbers 55/58, 31/26, 24/77, 15/462 is

GCF of Numerators i.e. for 55,31,24,15 is 1

LCM of denominators i.e. for 58,26,77,462 is 174174.

Thus, GCF of Fractions is 1/174174.Finally, GCF of Fractions for 55/58, 31/26, 24/77, 15/462 is 1/174174.