How to Find GCF of 7559/259, 5005/978?

GCF of 7559/259, 5005/978

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 7559/259, 5005/978 i.e 1/253302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7559/259, 5005/978.

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 7559/259,5005/978?

Given fractions are 7559/259,5005/978

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 7559/259,5005/978, numerators are 7559,5005

Denominators are 259,978

The GCF of 7559,5005 is 1 .

LCM of 259,978 is 253302.

The greatest common factor of 7559/259,5005/978 = [GCF of 7559,5005]/[LCM of 259,978]= 1/253302

Therefore, the GCF of 7559/259,5005/978 is 1/253302.

Greatest Common Factor of 7559,5005

To find the highest common factor of 7559,5005, we have to find the factors of both numbers and list the highest common factor.

The factors of 7559 are 1, 7559

The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005

The HCF of 7559,5005 is 1.

Lets's calculate GCF of 7559,5005

Greatest Common Factor (GCF) of 7559,5005 By Common Division

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

Greatest Common Factor of 7559,5005 By Matching Biggest Common Factor Method

Now, list down the factors of 7559

1,7559

Now, list down the factors of 5005

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Greatest Common Factor

We found the factors 7559,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 7559,5005 is 1.

Lets's calculate LCM of 259,978

Lowest Common Multiple of 259,978 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 253302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253302

Therefore, the GCF of Fractions 7559/259,5005/978 is 1/253302

Least Common Multiple of 259,978 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 259,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,978) = 1

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

GCF(259,978) x common factors =1 x 1 = 1

LCM(259,978) = ( 259 × 978 ) / 1

LCM(259,978) = 253302 / 1

LCM(259,978) = 253302

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7559/259, 5005/978

1. What is the HCF of 7559,5005?

The HCF of 7559,5005 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 7559/259, 5005/978?

Answer: GCF of Numerators as per given numbers 7559/259, 5005/978 is

GCF of Numerators i.e. for 7559,5005 is 1

LCM of denominators i.e. for 259,978 is 253302.

Thus, GCF of Fractions is 1/253302.Finally, GCF of Fractions for 7559/259, 5005/978 is 1/253302.