Greatest Common Factor of 58/77, 23/72, 53/88, 905/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/77, 23/72, 53/88, 905/86

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 58/77,23/72,53/88,905/86

Given fractions are 58/77,23/72,53/88,905/86

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 58,23,53,905

Greatest Common Factor of Numerators i.e. GCF of 58,23,53,905 is 1 .

LCM of Denominators means LCM of 77,72,88,86 as per the given fractions.

LCM of 77,72,88,86 is 238392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,23,53,905

GCF of Fractions 58/77,23/72,53/88,905/86 is 1/238392

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

Greatest Common Factor of 58,23,53,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,23,53,905 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 58,23,53,905 . The biggest common factor number is the GCF number.
So the greatest common factor 58,23,53,905 is 1.

Lets's calculate LCM of 77,72,88,86

2 77, 72, 88, 86
2 77, 36, 44, 43
2 77, 18, 22, 43
11 77, 9, 11, 43
7, 9, 1, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 9 x 1 x 43 = 238392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238392

Therefore, the GCF of Fractions 58/77,23/72,53/88,905/86 is 1/238392

Least Common Multiple of 77,72,88,86 with GCF Formula

Least Common Multiple of 77,72,88,86 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 77,72,88,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,72,88,86) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(77,72,88,86) x common factors =1 x 176 = 176

LCM(77,72,88,86) = ( 77 × 72 × 88 × 86 ) / 176

LCM(77,72,88,86) = 41956992 / 176

LCM(77,72,88,86) = 238392


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 58/77, 23/72, 53/88, 905/86

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 58/77, 23/72, 53/88, 905/86?

Answer: GCF of Numerators as per given numbers 58/77, 23/72, 53/88, 905/86 is

GCF of Numerators i.e. for 58,23,53,905 is 1

LCM of denominators i.e. for 77,72,88,86 is 238392.

Thus, GCF of Fractions is 1/238392.Finally, GCF of Fractions for 58/77, 23/72, 53/88, 905/86 is 1/238392.