Greatest Common Factor of 3693/767, 3738/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3693/767, 3738/646

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 3693/767,3738/646

Given fractions are 3693/767,3738/646

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 3693,3738

Greatest Common Factor of Numerators i.e. GCF of 3693,3738 is 3 .

LCM of Denominators means LCM of 767,646 as per the given fractions.

LCM of 767,646 is 495482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3693,3738

GCF of Fractions 3693/767,3738/646 is 3/495482

3 3693, 3738
1231, 1246

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3693,3738 By Matching Biggest Common Factor Method

Greatest Common Factor of 3693,3738 By Matching Biggest Common Factor Method

Factors of 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Greatest Common Factor

We found the factors 3693,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 3693,3738 is 3.

Lets's calculate LCM of 767,646

Given numbers has no common factors except 1. So, there LCM is their product i.e 495482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/495482

Therefore, the GCF of Fractions 3693/767,3738/646 is 3/495482

Least Common Multiple of 767,646 with GCF Formula

Least Common Multiple of 767,646 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 767,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,646) = 1

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

GCF(767,646) x common factors =1 x 1 = 1

LCM(767,646) = ( 767 × 646 ) / 1

LCM(767,646) = 495482 / 1

LCM(767,646) = 495482


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 3693/767, 3738/646

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 3693/767, 3738/646?

Answer: GCF of Numerators as per given numbers 3693/767, 3738/646 is

GCF of Numerators i.e. for 3693,3738 is 3

LCM of denominators i.e. for 767,646 is 495482.

Thus, GCF of Fractions is 3/495482.Finally, GCF of Fractions for 3693/767, 3738/646 is 3/495482.