Greatest Common Factor of 4633/68, 6772/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4633/68, 6772/302

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 4633/68,6772/302

Given fractions are 4633/68,6772/302

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 4633,6772

Greatest Common Factor of Numerators i.e. GCF of 4633,6772 is 1 .

LCM of Denominators means LCM of 68,302 as per the given fractions.

LCM of 68,302 is 10268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4633,6772

GCF of Fractions 4633/68,6772/302 is 1/10268

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

Greatest Common Factor of 4633,6772 By Matching Biggest Common Factor Method

Greatest Common Factor of 4633,6772 By Matching Biggest Common Factor Method

Factors of 4633

List of positive integer factors of 4633 that divides 4633 without a remainder.

1,41,113,4633

Factors of 6772

List of positive integer factors of 6772 that divides 6772 without a remainder.

1,2,4,1693,3386,6772

Greatest Common Factor

We found the factors 4633,6772 . The biggest common factor number is the GCF number.
So the greatest common factor 4633,6772 is 1.

Lets's calculate LCM of 68,302

2 68, 302
34, 151

∴ So the LCM of the given numbers is 2 x 34 x 151 = 10268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10268

Therefore, the GCF of Fractions 4633/68,6772/302 is 1/10268

Least Common Multiple of 68,302 with GCF Formula

Least Common Multiple of 68,302 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 68,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,302) = 2

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

GCF(68,302) x common factors =2 x 1 = 2

LCM(68,302) = ( 68 × 302 ) / 2

LCM(68,302) = 20536 / 2

LCM(68,302) = 10268


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 4633/68, 6772/302

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 4633/68, 6772/302?

Answer: GCF of Numerators as per given numbers 4633/68, 6772/302 is

GCF of Numerators i.e. for 4633,6772 is 1

LCM of denominators i.e. for 68,302 is 10268.

Thus, GCF of Fractions is 1/10268.Finally, GCF of Fractions for 4633/68, 6772/302 is 1/10268.