Greatest Common Factor of 182/64, 6383/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/64, 6383/735

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 182/64,6383/735

Given fractions are 182/64,6383/735

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 182,6383

Greatest Common Factor of Numerators i.e. GCF of 182,6383 is 13 .

LCM of Denominators means LCM of 64,735 as per the given fractions.

LCM of 64,735 is 47040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,6383

GCF of Fractions 182/64,6383/735 is 13/47040

13 182, 6383
14, 491

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 182,6383 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,6383 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 6383

List of positive integer factors of 6383 that divides 6383 without a remainder.

1,13,491,6383

Greatest Common Factor

We found the factors 182,6383 . The biggest common factor number is the GCF number.
So the greatest common factor 182,6383 is 13.

Lets's calculate LCM of 64,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 47040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/47040

Therefore, the GCF of Fractions 182/64,6383/735 is 13/47040

Least Common Multiple of 64,735 with GCF Formula

Least Common Multiple of 64,735 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 64,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,735) = 1

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

GCF(64,735) x common factors =1 x 1 = 1

LCM(64,735) = ( 64 × 735 ) / 1

LCM(64,735) = 47040 / 1

LCM(64,735) = 47040


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 182/64, 6383/735

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 182/64, 6383/735?

Answer: GCF of Numerators as per given numbers 182/64, 6383/735 is

GCF of Numerators i.e. for 182,6383 is 13

LCM of denominators i.e. for 64,735 is 47040.

Thus, GCF of Fractions is 13/47040.Finally, GCF of Fractions for 182/64, 6383/735 is 13/47040.