How to Find GCF of 7318/604, 5213/9983?

GCF of 7318/604, 5213/9983

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 7318/604, 5213/9983 i.e 1/6029732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7318/604, 5213/9983.

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 7318/604,5213/9983?

Given fractions are 7318/604,5213/9983

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 7318/604,5213/9983, numerators are 7318,5213

Denominators are 604,9983

The GCF of 7318,5213 is 1 .

LCM of 604,9983 is 6029732.

The greatest common factor of 7318/604,5213/9983 = [GCF of 7318,5213]/[LCM of 604,9983]= 1/6029732

Therefore, the GCF of 7318/604,5213/9983 is 1/6029732.

Greatest Common Factor of 7318,5213

To find the highest common factor of 7318,5213, we have to find the factors of both numbers and list the highest common factor.

The factors of 7318 are 1, 2, 3659, 7318

The factors of 5213 are 1, 13, 401, 5213

The HCF of 7318,5213 is 1.

Lets's calculate GCF of 7318,5213

Greatest Common Factor (GCF) of 7318,5213 By Common Division

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

Greatest Common Factor of 7318,5213 By Matching Biggest Common Factor Method

Now, list down the factors of 7318

1,2,3659,7318

Now, list down the factors of 5213

1,13,401,5213

Greatest Common Factor

We found the factors 7318,5213 . The biggest common factor number is the GCF number.
So the greatest common factor 7318,5213 is 1.

Lets's calculate LCM of 604,9983

Lowest Common Multiple of 604,9983 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6029732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6029732

Therefore, the GCF of Fractions 7318/604,5213/9983 is 1/6029732

Least Common Multiple of 604,9983 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 604,9983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9983) = 1

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

GCF(604,9983) x common factors =1 x 1 = 1

LCM(604,9983) = ( 604 × 9983 ) / 1

LCM(604,9983) = 6029732 / 1

LCM(604,9983) = 6029732

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FAQs on GCF of Fractions of 7318/604, 5213/9983

1. What is the HCF of 7318,5213?

The HCF of 7318,5213 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 7318/604, 5213/9983?

Answer: GCF of Numerators as per given numbers 7318/604, 5213/9983 is

GCF of Numerators i.e. for 7318,5213 is 1

LCM of denominators i.e. for 604,9983 is 6029732.

Thus, GCF of Fractions is 1/6029732.Finally, GCF of Fractions for 7318/604, 5213/9983 is 1/6029732.