How to Find GCF of 5337/108, 1439/7022?

GCF of 5337/108, 1439/7022

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5337/108, 1439/7022 i.e 1/379188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5337/108, 1439/7022.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5337/108,1439/7022?

Given fractions are 5337/108,1439/7022

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5337/108,1439/7022, numerators are 5337,1439

Denominators are 108,7022

The GCF of 5337,1439 is 1 .

LCM of 108,7022 is 379188.

The greatest common factor of 5337/108,1439/7022 = [GCF of 5337,1439]/[LCM of 108,7022]= 1/379188

Therefore, the GCF of 5337/108,1439/7022 is 1/379188.

Greatest Common Factor of 5337,1439

To find the highest common factor of 5337,1439, we have to find the factors of both numbers and list the highest common factor.

The factors of 5337 are 1, 3, 9, 593, 1779, 5337

The factors of 1439 are 1, 1439

The HCF of 5337,1439 is 1.

Lets's calculate GCF of 5337,1439

Greatest Common Factor (GCF) of 5337,1439 By Common Division

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

Greatest Common Factor of 5337,1439 By Matching Biggest Common Factor Method

Now, list down the factors of 5337

1,3,9,593,1779,5337

Now, list down the factors of 1439

1,1439

Greatest Common Factor

We found the factors 5337,1439 . The biggest common factor number is the GCF number.
So the greatest common factor 5337,1439 is 1.

Lets's calculate LCM of 108,7022

Lowest Common Multiple of 108,7022 using Common Division

2	108, 7022
	54, 3511

∴ So the LCM of the given numbers is 2 x 54 x 3511 = 379188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379188

Therefore, the GCF of Fractions 5337/108,1439/7022 is 1/379188

Least Common Multiple of 108,7022 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 108,7022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,7022) = 2

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

GCF(108,7022) x common factors =2 x 1 = 2

LCM(108,7022) = ( 108 × 7022 ) / 2

LCM(108,7022) = 758376 / 2

LCM(108,7022) = 379188

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FAQs on GCF of Fractions of 5337/108, 1439/7022

1. What is the HCF of 5337,1439?

The HCF of 5337,1439 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5337/108, 1439/7022?

Answer: GCF of Numerators as per given numbers 5337/108, 1439/7022 is

GCF of Numerators i.e. for 5337,1439 is 1

LCM of denominators i.e. for 108,7022 is 379188.

Thus, GCF of Fractions is 1/379188.Finally, GCF of Fractions for 5337/108, 1439/7022 is 1/379188.