Greatest Common Factor of 468/773, 2067/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/773, 2067/611

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 468/773,2067/611

Given fractions are 468/773,2067/611

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 468,2067

Greatest Common Factor of Numerators i.e. GCF of 468,2067 is 39 .

LCM of Denominators means LCM of 773,611 as per the given fractions.

LCM of 773,611 is 472303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,2067

GCF of Fractions 468/773,2067/611 is 39/472303

3 468, 2067
13 156, 689
12, 53

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 468,2067 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,2067 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 2067

List of positive integer factors of 2067 that divides 2067 without a remainder.

1,3,13,39,53,159,689,2067

Greatest Common Factor

We found the factors 468,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 468,2067 is 39.

Lets's calculate LCM of 773,611

Given numbers has no common factors except 1. So, there LCM is their product i.e 472303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/472303

Therefore, the GCF of Fractions 468/773,2067/611 is 39/472303

Least Common Multiple of 773,611 with GCF Formula

Least Common Multiple of 773,611 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 773,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,611) = 1

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

GCF(773,611) x common factors =1 x 1 = 1

LCM(773,611) = ( 773 × 611 ) / 1

LCM(773,611) = 472303 / 1

LCM(773,611) = 472303


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 468/773, 2067/611

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 468/773, 2067/611?

Answer: GCF of Numerators as per given numbers 468/773, 2067/611 is

GCF of Numerators i.e. for 468,2067 is 39

LCM of denominators i.e. for 773,611 is 472303.

Thus, GCF of Fractions is 39/472303.Finally, GCF of Fractions for 468/773, 2067/611 is 39/472303.