How to Find GCF of 7509/581, 5470/9005?

GCF of 7509/581, 5470/9005

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 7509/581, 5470/9005 i.e 1/5231905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7509/581, 5470/9005.

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 7509/581,5470/9005?

Given fractions are 7509/581,5470/9005

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 7509/581,5470/9005, numerators are 7509,5470

Denominators are 581,9005

The GCF of 7509,5470 is 1 .

LCM of 581,9005 is 5231905.

The greatest common factor of 7509/581,5470/9005 = [GCF of 7509,5470]/[LCM of 581,9005]= 1/5231905

Therefore, the GCF of 7509/581,5470/9005 is 1/5231905.

Greatest Common Factor of 7509,5470

To find the highest common factor of 7509,5470, we have to find the factors of both numbers and list the highest common factor.

The factors of 7509 are 1, 3, 2503, 7509

The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470

The HCF of 7509,5470 is 1.

Lets's calculate GCF of 7509,5470

Greatest Common Factor (GCF) of 7509,5470 By Common Division

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

Greatest Common Factor of 7509,5470 By Matching Biggest Common Factor Method

Now, list down the factors of 7509

1,3,2503,7509

Now, list down the factors of 5470

1,2,5,10,547,1094,2735,5470

Greatest Common Factor

We found the factors 7509,5470 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,5470 is 1.

Lets's calculate LCM of 581,9005

Lowest Common Multiple of 581,9005 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5231905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5231905

Therefore, the GCF of Fractions 7509/581,5470/9005 is 1/5231905

Least Common Multiple of 581,9005 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 581,9005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,9005) = 1

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

GCF(581,9005) x common factors =1 x 1 = 1

LCM(581,9005) = ( 581 × 9005 ) / 1

LCM(581,9005) = 5231905 / 1

LCM(581,9005) = 5231905

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7509/581, 5470/9005

1. What is the HCF of 7509,5470?

The HCF of 7509,5470 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 7509/581, 5470/9005?

Answer: GCF of Numerators as per given numbers 7509/581, 5470/9005 is

GCF of Numerators i.e. for 7509,5470 is 1

LCM of denominators i.e. for 581,9005 is 5231905.

Thus, GCF of Fractions is 1/5231905.Finally, GCF of Fractions for 7509/581, 5470/9005 is 1/5231905.