Greatest Common Factor of 693/237, 798/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/237, 798/612

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 693/237,798/612

Given fractions are 693/237,798/612

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 693,798

Greatest Common Factor of Numerators i.e. GCF of 693,798 is 21 .

LCM of Denominators means LCM of 237,612 as per the given fractions.

LCM of 237,612 is 48348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,798

GCF of Fractions 693/237,798/612 is 21/48348

3 693, 798
7 231, 266
33, 38

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 693,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,798 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 693,798 . The biggest common factor number is the GCF number.
So the greatest common factor 693,798 is 21.

Lets's calculate LCM of 237,612

3 237, 612
79, 204

∴ So the LCM of the given numbers is 3 x 79 x 204 = 48348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/48348

Therefore, the GCF of Fractions 693/237,798/612 is 21/48348

Least Common Multiple of 237,612 with GCF Formula

Least Common Multiple of 237,612 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 237,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,612) = 3

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

GCF(237,612) x common factors =3 x 1 = 3

LCM(237,612) = ( 237 × 612 ) / 3

LCM(237,612) = 145044 / 3

LCM(237,612) = 48348


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 693/237, 798/612

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 693/237, 798/612?

Answer: GCF of Numerators as per given numbers 693/237, 798/612 is

GCF of Numerators i.e. for 693,798 is 21

LCM of denominators i.e. for 237,612 is 48348.

Thus, GCF of Fractions is 21/48348.Finally, GCF of Fractions for 693/237, 798/612 is 21/48348.