Greatest Common Factor of 593/31, 902/77, 916/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 593/31, 902/77, 916/46

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 593/31,902/77,916/46

Given fractions are 593/31,902/77,916/46

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 593,902,916

Greatest Common Factor of Numerators i.e. GCF of 593,902,916 is 1 .

LCM of Denominators means LCM of 31,77,46 as per the given fractions.

LCM of 31,77,46 is 109802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 593,902,916

GCF of Fractions 593/31,902/77,916/46 is 1/109802

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

Greatest Common Factor of 593,902,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,902,916 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 593,902,916 . The biggest common factor number is the GCF number.
So the greatest common factor 593,902,916 is 1.

Lets's calculate LCM of 31,77,46

Given numbers has no common factors except 1. So, there LCM is their product i.e 109802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109802

Therefore, the GCF of Fractions 593/31,902/77,916/46 is 1/109802

Least Common Multiple of 31,77,46 with GCF Formula

Least Common Multiple of 31,77,46 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 31,77,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,77,46) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,77,46) x common factors =1 x 1 = 1

LCM(31,77,46) = ( 31 × 77 × 46 ) / 1

LCM(31,77,46) = 109802 / 1

LCM(31,77,46) = 109802


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 593/31, 902/77, 916/46

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 593/31, 902/77, 916/46?

Answer: GCF of Numerators as per given numbers 593/31, 902/77, 916/46 is

GCF of Numerators i.e. for 593,902,916 is 1

LCM of denominators i.e. for 31,77,46 is 109802.

Thus, GCF of Fractions is 1/109802.Finally, GCF of Fractions for 593/31, 902/77, 916/46 is 1/109802.