How to Find GCF of 6527/329, 2485/1828?

GCF of 6527/329, 2485/1828

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 6527/329, 2485/1828 i.e 1/601412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6527/329, 2485/1828.

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 6527/329,2485/1828?

Given fractions are 6527/329,2485/1828

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 6527/329,2485/1828, numerators are 6527,2485

Denominators are 329,1828

The GCF of 6527,2485 is 1 .

LCM of 329,1828 is 601412.

The greatest common factor of 6527/329,2485/1828 = [GCF of 6527,2485]/[LCM of 329,1828]= 1/601412

Therefore, the GCF of 6527/329,2485/1828 is 1/601412.

Greatest Common Factor of 6527,2485

To find the highest common factor of 6527,2485, we have to find the factors of both numbers and list the highest common factor.

The factors of 6527 are 1, 61, 107, 6527

The factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485

The HCF of 6527,2485 is 1.

Lets's calculate GCF of 6527,2485

Greatest Common Factor (GCF) of 6527,2485 By Common Division

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

Greatest Common Factor of 6527,2485 By Matching Biggest Common Factor Method

Now, list down the factors of 6527

1,61,107,6527

Now, list down the factors of 2485

1,5,7,35,71,355,497,2485

Greatest Common Factor

We found the factors 6527,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 6527,2485 is 1.

Lets's calculate LCM of 329,1828

Lowest Common Multiple of 329,1828 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 601412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601412

Therefore, the GCF of Fractions 6527/329,2485/1828 is 1/601412

Least Common Multiple of 329,1828 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 329,1828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,1828) = 1

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

GCF(329,1828) x common factors =1 x 1 = 1

LCM(329,1828) = ( 329 × 1828 ) / 1

LCM(329,1828) = 601412 / 1

LCM(329,1828) = 601412

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FAQs on GCF of Fractions of 6527/329, 2485/1828

1. What is the HCF of 6527,2485?

The HCF of 6527,2485 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 6527/329, 2485/1828?

Answer: GCF of Numerators as per given numbers 6527/329, 2485/1828 is

GCF of Numerators i.e. for 6527,2485 is 1

LCM of denominators i.e. for 329,1828 is 601412.

Thus, GCF of Fractions is 1/601412.Finally, GCF of Fractions for 6527/329, 2485/1828 is 1/601412.