Greatest Common Factor of 5354/55, 8344/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5354/55, 8344/337

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 5354/55,8344/337

Given fractions are 5354/55,8344/337

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 5354,8344

Greatest Common Factor of Numerators i.e. GCF of 5354,8344 is 2 .

LCM of Denominators means LCM of 55,337 as per the given fractions.

LCM of 55,337 is 18535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5354,8344

GCF of Fractions 5354/55,8344/337 is 2/18535

2 5354, 8344
2677, 4172

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

Greatest Common Factor of 5354,8344 By Matching Biggest Common Factor Method

Greatest Common Factor of 5354,8344 By Matching Biggest Common Factor Method

Factors of 5354

List of positive integer factors of 5354 that divides 5354 without a remainder.

1,2,2677,5354

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Greatest Common Factor

We found the factors 5354,8344 . The biggest common factor number is the GCF number.
So the greatest common factor 5354,8344 is 2.

Lets's calculate LCM of 55,337

Given numbers has no common factors except 1. So, there LCM is their product i.e 18535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18535

Therefore, the GCF of Fractions 5354/55,8344/337 is 2/18535

Least Common Multiple of 55,337 with GCF Formula

Least Common Multiple of 55,337 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 55,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,337) = 1

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

GCF(55,337) x common factors =1 x 1 = 1

LCM(55,337) = ( 55 × 337 ) / 1

LCM(55,337) = 18535 / 1

LCM(55,337) = 18535


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 5354/55, 8344/337

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 5354/55, 8344/337?

Answer: GCF of Numerators as per given numbers 5354/55, 8344/337 is

GCF of Numerators i.e. for 5354,8344 is 2

LCM of denominators i.e. for 55,337 is 18535.

Thus, GCF of Fractions is 2/18535.Finally, GCF of Fractions for 5354/55, 8344/337 is 2/18535.