Greatest Common Factor of 1418/329, 1229/9272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1418/329, 1229/9272

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 1418/329,1229/9272

Given fractions are 1418/329,1229/9272

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 1418,1229

Greatest Common Factor of Numerators i.e. GCF of 1418,1229 is 1 .

LCM of Denominators means LCM of 329,9272 as per the given fractions.

LCM of 329,9272 is 3050488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1418,1229

GCF of Fractions 1418/329,1229/9272 is 1/3050488

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1418,1229 By Matching Biggest Common Factor Method

Greatest Common Factor of 1418,1229 By Matching Biggest Common Factor Method

Factors of 1418

List of positive integer factors of 1418 that divides 1418 without a remainder.

1,2,709,1418

Factors of 1229

List of positive integer factors of 1229 that divides 1229 without a remainder.

1,1229

Greatest Common Factor

We found the factors 1418,1229 . The biggest common factor number is the GCF number.
So the greatest common factor 1418,1229 is 1.

Lets's calculate LCM of 329,9272

Given numbers has no common factors except 1. So, there LCM is their product i.e 3050488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3050488

Therefore, the GCF of Fractions 1418/329,1229/9272 is 1/3050488

Least Common Multiple of 329,9272 with GCF Formula

Least Common Multiple of 329,9272 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 329,9272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,9272) = 1

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

GCF(329,9272) x common factors =1 x 1 = 1

LCM(329,9272) = ( 329 × 9272 ) / 1

LCM(329,9272) = 3050488 / 1

LCM(329,9272) = 3050488


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 1418/329, 1229/9272

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 1418/329, 1229/9272?

Answer: GCF of Numerators as per given numbers 1418/329, 1229/9272 is

GCF of Numerators i.e. for 1418,1229 is 1

LCM of denominators i.e. for 329,9272 is 3050488.

Thus, GCF of Fractions is 1/3050488.Finally, GCF of Fractions for 1418/329, 1229/9272 is 1/3050488.