Greatest Common Factor of 7385/732, 1684/6163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7385/732, 1684/6163

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 7385/732,1684/6163

Given fractions are 7385/732,1684/6163

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 7385,1684

Greatest Common Factor of Numerators i.e. GCF of 7385,1684 is 1 .

LCM of Denominators means LCM of 732,6163 as per the given fractions.

LCM of 732,6163 is 4511316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7385,1684

GCF of Fractions 7385/732,1684/6163 is 1/4511316

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

Greatest Common Factor of 7385,1684 By Matching Biggest Common Factor Method

Greatest Common Factor of 7385,1684 By Matching Biggest Common Factor Method

Factors of 7385

List of positive integer factors of 7385 that divides 7385 without a remainder.

1,5,7,35,211,1055,1477,7385

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Greatest Common Factor

We found the factors 7385,1684 . The biggest common factor number is the GCF number.
So the greatest common factor 7385,1684 is 1.

Lets's calculate LCM of 732,6163

Given numbers has no common factors except 1. So, there LCM is their product i.e 4511316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4511316

Therefore, the GCF of Fractions 7385/732,1684/6163 is 1/4511316

Least Common Multiple of 732,6163 with GCF Formula

Least Common Multiple of 732,6163 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 732,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,6163) = 1

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

GCF(732,6163) x common factors =1 x 1 = 1

LCM(732,6163) = ( 732 × 6163 ) / 1

LCM(732,6163) = 4511316 / 1

LCM(732,6163) = 4511316


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 7385/732, 1684/6163

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 7385/732, 1684/6163?

Answer: GCF of Numerators as per given numbers 7385/732, 1684/6163 is

GCF of Numerators i.e. for 7385,1684 is 1

LCM of denominators i.e. for 732,6163 is 4511316.

Thus, GCF of Fractions is 1/4511316.Finally, GCF of Fractions for 7385/732, 1684/6163 is 1/4511316.