How to Find GCF of 7005/508, 1798/9037?

GCF of 7005/508, 1798/9037

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 7005/508, 1798/9037 i.e 1/4590796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7005/508, 1798/9037.

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 7005/508,1798/9037?

Given fractions are 7005/508,1798/9037

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 7005/508,1798/9037, numerators are 7005,1798

Denominators are 508,9037

The GCF of 7005,1798 is 1 .

LCM of 508,9037 is 4590796.

The greatest common factor of 7005/508,1798/9037 = [GCF of 7005,1798]/[LCM of 508,9037]= 1/4590796

Therefore, the GCF of 7005/508,1798/9037 is 1/4590796.

Greatest Common Factor of 7005,1798

To find the highest common factor of 7005,1798, we have to find the factors of both numbers and list the highest common factor.

The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005

The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798

The HCF of 7005,1798 is 1.

Lets's calculate GCF of 7005,1798

Greatest Common Factor (GCF) of 7005,1798 By Common Division

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

Greatest Common Factor of 7005,1798 By Matching Biggest Common Factor Method

Now, list down the factors of 7005

1,3,5,15,467,1401,2335,7005

Now, list down the factors of 1798

1,2,29,31,58,62,899,1798

Greatest Common Factor

We found the factors 7005,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 7005,1798 is 1.

Lets's calculate LCM of 508,9037

Lowest Common Multiple of 508,9037 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4590796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4590796

Therefore, the GCF of Fractions 7005/508,1798/9037 is 1/4590796

Least Common Multiple of 508,9037 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 508,9037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,9037) = 1

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

GCF(508,9037) x common factors =1 x 1 = 1

LCM(508,9037) = ( 508 × 9037 ) / 1

LCM(508,9037) = 4590796 / 1

LCM(508,9037) = 4590796

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FAQs on GCF of Fractions of 7005/508, 1798/9037

1. What is the HCF of 7005,1798?

The HCF of 7005,1798 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 7005/508, 1798/9037?

Answer: GCF of Numerators as per given numbers 7005/508, 1798/9037 is

GCF of Numerators i.e. for 7005,1798 is 1

LCM of denominators i.e. for 508,9037 is 4590796.

Thus, GCF of Fractions is 1/4590796.Finally, GCF of Fractions for 7005/508, 1798/9037 is 1/4590796.