How to Find GCF of 4571/501, 3291/2725?

GCF of 4571/501, 3291/2725

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 4571/501, 3291/2725 i.e 1/1365225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4571/501, 3291/2725.

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 4571/501,3291/2725?

Given fractions are 4571/501,3291/2725

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 4571/501,3291/2725, numerators are 4571,3291

Denominators are 501,2725

The GCF of 4571,3291 is 1 .

LCM of 501,2725 is 1365225.

The greatest common factor of 4571/501,3291/2725 = [GCF of 4571,3291]/[LCM of 501,2725]= 1/1365225

Therefore, the GCF of 4571/501,3291/2725 is 1/1365225.

Greatest Common Factor of 4571,3291

To find the highest common factor of 4571,3291, we have to find the factors of both numbers and list the highest common factor.

The factors of 4571 are 1, 7, 653, 4571

The factors of 3291 are 1, 3, 1097, 3291

The HCF of 4571,3291 is 1.

Lets's calculate GCF of 4571,3291

Greatest Common Factor (GCF) of 4571,3291 By Common Division

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

Greatest Common Factor of 4571,3291 By Matching Biggest Common Factor Method

Now, list down the factors of 4571

1,7,653,4571

Now, list down the factors of 3291

1,3,1097,3291

Greatest Common Factor

We found the factors 4571,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 4571,3291 is 1.

Lets's calculate LCM of 501,2725

Lowest Common Multiple of 501,2725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1365225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1365225

Therefore, the GCF of Fractions 4571/501,3291/2725 is 1/1365225

Least Common Multiple of 501,2725 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 501,2725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,2725) = 1

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

GCF(501,2725) x common factors =1 x 1 = 1

LCM(501,2725) = ( 501 × 2725 ) / 1

LCM(501,2725) = 1365225 / 1

LCM(501,2725) = 1365225

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FAQs on GCF of Fractions of 4571/501, 3291/2725

1. What is the HCF of 4571,3291?

The HCF of 4571,3291 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 4571/501, 3291/2725?

Answer: GCF of Numerators as per given numbers 4571/501, 3291/2725 is

GCF of Numerators i.e. for 4571,3291 is 1

LCM of denominators i.e. for 501,2725 is 1365225.

Thus, GCF of Fractions is 1/1365225.Finally, GCF of Fractions for 4571/501, 3291/2725 is 1/1365225.