Greatest Common Factor of 5/58, 53/56, 61/342, 306/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/58, 53/56, 61/342, 306/493

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 5/58,53/56,61/342,306/493

Given fractions are 5/58,53/56,61/342,306/493

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 5,53,61,306

Greatest Common Factor of Numerators i.e. GCF of 5,53,61,306 is 1 .

LCM of Denominators means LCM of 58,56,342,493 as per the given fractions.

LCM of 58,56,342,493 is 4720968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,53,61,306

GCF of Fractions 5/58,53/56,61/342,306/493 is 1/4720968

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

Greatest Common Factor of 5,53,61,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,53,61,306 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 53

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

1,53

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 5,53,61,306 . The biggest common factor number is the GCF number.
So the greatest common factor 5,53,61,306 is 1.

Lets's calculate LCM of 58,56,342,493

2 58, 56, 342, 493
29 29, 28, 171, 493
1, 28, 171, 17

∴ So the LCM of the given numbers is 2 x 29 x 1 x 28 x 171 x 17 = 4720968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4720968

Therefore, the GCF of Fractions 5/58,53/56,61/342,306/493 is 1/4720968

Least Common Multiple of 58,56,342,493 with GCF Formula

Least Common Multiple of 58,56,342,493 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 58,56,342,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,56,342,493) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(58,56,342,493) x common factors =1 x 116 = 116

LCM(58,56,342,493) = ( 58 × 56 × 342 × 493 ) / 116

LCM(58,56,342,493) = 547632288 / 116

LCM(58,56,342,493) = 4720968


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 5/58, 53/56, 61/342, 306/493

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 5/58, 53/56, 61/342, 306/493?

Answer: GCF of Numerators as per given numbers 5/58, 53/56, 61/342, 306/493 is

GCF of Numerators i.e. for 5,53,61,306 is 1

LCM of denominators i.e. for 58,56,342,493 is 4720968.

Thus, GCF of Fractions is 1/4720968.Finally, GCF of Fractions for 5/58, 53/56, 61/342, 306/493 is 1/4720968.