Greatest Common Factor of 633/694, 1218/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 633/694, 1218/338

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 633/694,1218/338

Given fractions are 633/694,1218/338

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 633,1218

Greatest Common Factor of Numerators i.e. GCF of 633,1218 is 3 .

LCM of Denominators means LCM of 694,338 as per the given fractions.

LCM of 694,338 is 117286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 633,1218

GCF of Fractions 633/694,1218/338 is 3/117286

3 633, 1218
211, 406

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

Greatest Common Factor of 633,1218 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,1218 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 1218

List of positive integer factors of 1218 that divides 1218 without a remainder.

1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218

Greatest Common Factor

We found the factors 633,1218 . The biggest common factor number is the GCF number.
So the greatest common factor 633,1218 is 3.

Lets's calculate LCM of 694,338

2 694, 338
347, 169

∴ So the LCM of the given numbers is 2 x 347 x 169 = 117286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117286

Therefore, the GCF of Fractions 633/694,1218/338 is 3/117286

Least Common Multiple of 694,338 with GCF Formula

Least Common Multiple of 694,338 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 694,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,338) = 2

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

GCF(694,338) x common factors =2 x 1 = 2

LCM(694,338) = ( 694 × 338 ) / 2

LCM(694,338) = 234572 / 2

LCM(694,338) = 117286


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 633/694, 1218/338

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 633/694, 1218/338?

Answer: GCF of Numerators as per given numbers 633/694, 1218/338 is

GCF of Numerators i.e. for 633,1218 is 3

LCM of denominators i.e. for 694,338 is 117286.

Thus, GCF of Fractions is 3/117286.Finally, GCF of Fractions for 633/694, 1218/338 is 3/117286.