How to Find GCF of 8009/299, 5392/7370?

GCF of 8009/299, 5392/7370

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 8009/299, 5392/7370 i.e 1/2203630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8009/299, 5392/7370.

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 8009/299,5392/7370?

Given fractions are 8009/299,5392/7370

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 8009/299,5392/7370, numerators are 8009,5392

Denominators are 299,7370

The GCF of 8009,5392 is 1 .

LCM of 299,7370 is 2203630.

The greatest common factor of 8009/299,5392/7370 = [GCF of 8009,5392]/[LCM of 299,7370]= 1/2203630

Therefore, the GCF of 8009/299,5392/7370 is 1/2203630.

Greatest Common Factor of 8009,5392

To find the highest common factor of 8009,5392, we have to find the factors of both numbers and list the highest common factor.

The factors of 8009 are 1, 8009

The factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

The HCF of 8009,5392 is 1.

Lets's calculate GCF of 8009,5392

Greatest Common Factor (GCF) of 8009,5392 By Common Division

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

Greatest Common Factor of 8009,5392 By Matching Biggest Common Factor Method

Now, list down the factors of 8009

1,8009

Now, list down the factors of 5392

1,2,4,8,16,337,674,1348,2696,5392

Greatest Common Factor

We found the factors 8009,5392 . The biggest common factor number is the GCF number.
So the greatest common factor 8009,5392 is 1.

Lets's calculate LCM of 299,7370

Lowest Common Multiple of 299,7370 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2203630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2203630

Therefore, the GCF of Fractions 8009/299,5392/7370 is 1/2203630

Least Common Multiple of 299,7370 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 299,7370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,7370) = 1

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

GCF(299,7370) x common factors =1 x 1 = 1

LCM(299,7370) = ( 299 × 7370 ) / 1

LCM(299,7370) = 2203630 / 1

LCM(299,7370) = 2203630

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FAQs on GCF of Fractions of 8009/299, 5392/7370

1. What is the HCF of 8009,5392?

The HCF of 8009,5392 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 8009/299, 5392/7370?

Answer: GCF of Numerators as per given numbers 8009/299, 5392/7370 is

GCF of Numerators i.e. for 8009,5392 is 1

LCM of denominators i.e. for 299,7370 is 2203630.

Thus, GCF of Fractions is 1/2203630.Finally, GCF of Fractions for 8009/299, 5392/7370 is 1/2203630.