Greatest Common Factor of 1218/33, 7337/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1218/33, 7337/830

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 1218/33,7337/830

Given fractions are 1218/33,7337/830

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 1218,7337

Greatest Common Factor of Numerators i.e. GCF of 1218,7337 is 29 .

LCM of Denominators means LCM of 33,830 as per the given fractions.

LCM of 33,830 is 27390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1218,7337

GCF of Fractions 1218/33,7337/830 is 29/27390

29 1218, 7337
42, 253

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 1218,7337 By Matching Biggest Common Factor Method

Greatest Common Factor of 1218,7337 By Matching Biggest Common Factor Method

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

Factors of 7337

List of positive integer factors of 7337 that divides 7337 without a remainder.

1,11,23,29,253,319,667,7337

Greatest Common Factor

We found the factors 1218,7337 . The biggest common factor number is the GCF number.
So the greatest common factor 1218,7337 is 29.

Lets's calculate LCM of 33,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 27390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/27390

Therefore, the GCF of Fractions 1218/33,7337/830 is 29/27390

Least Common Multiple of 33,830 with GCF Formula

Least Common Multiple of 33,830 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 33,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,830) = 1

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

GCF(33,830) x common factors =1 x 1 = 1

LCM(33,830) = ( 33 × 830 ) / 1

LCM(33,830) = 27390 / 1

LCM(33,830) = 27390


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 1218/33, 7337/830

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 1218/33, 7337/830?

Answer: GCF of Numerators as per given numbers 1218/33, 7337/830 is

GCF of Numerators i.e. for 1218,7337 is 29

LCM of denominators i.e. for 33,830 is 27390.

Thus, GCF of Fractions is 29/27390.Finally, GCF of Fractions for 1218/33, 7337/830 is 29/27390.