Greatest Common Factor of 3292/344, 5387/3637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3292/344, 5387/3637

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 3292/344,5387/3637

Given fractions are 3292/344,5387/3637

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 3292,5387

Greatest Common Factor of Numerators i.e. GCF of 3292,5387 is 1 .

LCM of Denominators means LCM of 344,3637 as per the given fractions.

LCM of 344,3637 is 1251128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3292,5387

GCF of Fractions 3292/344,5387/3637 is 1/1251128

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

Greatest Common Factor of 3292,5387 By Matching Biggest Common Factor Method

Greatest Common Factor of 3292,5387 By Matching Biggest Common Factor Method

Factors of 3292

List of positive integer factors of 3292 that divides 3292 without a remainder.

1,2,4,823,1646,3292

Factors of 5387

List of positive integer factors of 5387 that divides 5387 without a remainder.

1,5387

Greatest Common Factor

We found the factors 3292,5387 . The biggest common factor number is the GCF number.
So the greatest common factor 3292,5387 is 1.

Lets's calculate LCM of 344,3637

Given numbers has no common factors except 1. So, there LCM is their product i.e 1251128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1251128

Therefore, the GCF of Fractions 3292/344,5387/3637 is 1/1251128

Least Common Multiple of 344,3637 with GCF Formula

Least Common Multiple of 344,3637 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 344,3637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,3637) = 1

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

GCF(344,3637) x common factors =1 x 1 = 1

LCM(344,3637) = ( 344 × 3637 ) / 1

LCM(344,3637) = 1251128 / 1

LCM(344,3637) = 1251128


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 3292/344, 5387/3637

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 3292/344, 5387/3637?

Answer: GCF of Numerators as per given numbers 3292/344, 5387/3637 is

GCF of Numerators i.e. for 3292,5387 is 1

LCM of denominators i.e. for 344,3637 is 1251128.

Thus, GCF of Fractions is 1/1251128.Finally, GCF of Fractions for 3292/344, 5387/3637 is 1/1251128.