How to Find GCF of 7299/598, 5839/1069?

GCF of 7299/598, 5839/1069

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 7299/598, 5839/1069 i.e 1/639262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7299/598, 5839/1069.

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 7299/598,5839/1069?

Given fractions are 7299/598,5839/1069

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 7299/598,5839/1069, numerators are 7299,5839

Denominators are 598,1069

The GCF of 7299,5839 is 1 .

LCM of 598,1069 is 639262.

The greatest common factor of 7299/598,5839/1069 = [GCF of 7299,5839]/[LCM of 598,1069]= 1/639262

Therefore, the GCF of 7299/598,5839/1069 is 1/639262.

Greatest Common Factor of 7299,5839

To find the highest common factor of 7299,5839, we have to find the factors of both numbers and list the highest common factor.

The factors of 7299 are 1, 3, 9, 811, 2433, 7299

The factors of 5839 are 1, 5839

The HCF of 7299,5839 is 1.

Lets's calculate GCF of 7299,5839

Greatest Common Factor (GCF) of 7299,5839 By Common Division

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

Greatest Common Factor of 7299,5839 By Matching Biggest Common Factor Method

Now, list down the factors of 7299

1,3,9,811,2433,7299

Now, list down the factors of 5839

1,5839

Greatest Common Factor

We found the factors 7299,5839 . The biggest common factor number is the GCF number.
So the greatest common factor 7299,5839 is 1.

Lets's calculate LCM of 598,1069

Lowest Common Multiple of 598,1069 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 639262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639262

Therefore, the GCF of Fractions 7299/598,5839/1069 is 1/639262

Least Common Multiple of 598,1069 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 598,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,1069) = 1

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

GCF(598,1069) x common factors =1 x 1 = 1

LCM(598,1069) = ( 598 × 1069 ) / 1

LCM(598,1069) = 639262 / 1

LCM(598,1069) = 639262

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FAQs on GCF of Fractions of 7299/598, 5839/1069

1. What is the HCF of 7299,5839?

The HCF of 7299,5839 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 7299/598, 5839/1069?

Answer: GCF of Numerators as per given numbers 7299/598, 5839/1069 is

GCF of Numerators i.e. for 7299,5839 is 1

LCM of denominators i.e. for 598,1069 is 639262.

Thus, GCF of Fractions is 1/639262.Finally, GCF of Fractions for 7299/598, 5839/1069 is 1/639262.