How to Find GCF of 5234/219, 1363/9379?

GCF of 5234/219, 1363/9379

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 5234/219, 1363/9379 i.e 1/2054001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5234/219, 1363/9379.

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 5234/219,1363/9379?

Given fractions are 5234/219,1363/9379

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 5234/219,1363/9379, numerators are 5234,1363

Denominators are 219,9379

The GCF of 5234,1363 is 1 .

LCM of 219,9379 is 2054001.

The greatest common factor of 5234/219,1363/9379 = [GCF of 5234,1363]/[LCM of 219,9379]= 1/2054001

Therefore, the GCF of 5234/219,1363/9379 is 1/2054001.

Greatest Common Factor of 5234,1363

To find the highest common factor of 5234,1363, we have to find the factors of both numbers and list the highest common factor.

The factors of 5234 are 1, 2, 2617, 5234

The factors of 1363 are 1, 29, 47, 1363

The HCF of 5234,1363 is 1.

Lets's calculate GCF of 5234,1363

Greatest Common Factor (GCF) of 5234,1363 By Common Division

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

Greatest Common Factor of 5234,1363 By Matching Biggest Common Factor Method

Now, list down the factors of 5234

1,2,2617,5234

Now, list down the factors of 1363

1,29,47,1363

Greatest Common Factor

We found the factors 5234,1363 . The biggest common factor number is the GCF number.
So the greatest common factor 5234,1363 is 1.

Lets's calculate LCM of 219,9379

Lowest Common Multiple of 219,9379 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2054001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2054001

Therefore, the GCF of Fractions 5234/219,1363/9379 is 1/2054001

Least Common Multiple of 219,9379 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 219,9379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,9379) = 1

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

GCF(219,9379) x common factors =1 x 1 = 1

LCM(219,9379) = ( 219 × 9379 ) / 1

LCM(219,9379) = 2054001 / 1

LCM(219,9379) = 2054001

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FAQs on GCF of Fractions of 5234/219, 1363/9379

1. What is the HCF of 5234,1363?

The HCF of 5234,1363 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 5234/219, 1363/9379?

Answer: GCF of Numerators as per given numbers 5234/219, 1363/9379 is

GCF of Numerators i.e. for 5234,1363 is 1

LCM of denominators i.e. for 219,9379 is 2054001.

Thus, GCF of Fractions is 1/2054001.Finally, GCF of Fractions for 5234/219, 1363/9379 is 1/2054001.