How to Find GCF of 501/752, 6578/849?

GCF of 501/752, 6578/849

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 501/752, 6578/849 i.e 1/638448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/752, 6578/849.

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 501/752,6578/849?

Given fractions are 501/752,6578/849

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 501/752,6578/849, numerators are 501,6578

Denominators are 752,849

The GCF of 501,6578 is 1 .

LCM of 752,849 is 638448.

The greatest common factor of 501/752,6578/849 = [GCF of 501,6578]/[LCM of 752,849]= 1/638448

Therefore, the GCF of 501/752,6578/849 is 1/638448.

Greatest Common Factor of 501,6578

To find the highest common factor of 501,6578, we have to find the factors of both numbers and list the highest common factor.

The factors of 501 are 1, 3, 167, 501

The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578

The HCF of 501,6578 is 1.

Lets's calculate GCF of 501,6578

Greatest Common Factor (GCF) of 501,6578 By Common Division

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

Greatest Common Factor of 501,6578 By Matching Biggest Common Factor Method

Now, list down the factors of 501

1,3,167,501

Now, list down the factors of 6578

1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578

Greatest Common Factor

We found the factors 501,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 501,6578 is 1.

Lets's calculate LCM of 752,849

Lowest Common Multiple of 752,849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 638448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638448

Therefore, the GCF of Fractions 501/752,6578/849 is 1/638448

Least Common Multiple of 752,849 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 752,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,849) = 1

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

GCF(752,849) x common factors =1 x 1 = 1

LCM(752,849) = ( 752 × 849 ) / 1

LCM(752,849) = 638448 / 1

LCM(752,849) = 638448

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FAQs on GCF of Fractions of 501/752, 6578/849

1. What is the HCF of 501,6578?

The HCF of 501,6578 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 501/752, 6578/849?

Answer: GCF of Numerators as per given numbers 501/752, 6578/849 is

GCF of Numerators i.e. for 501,6578 is 1

LCM of denominators i.e. for 752,849 is 638448.

Thus, GCF of Fractions is 1/638448.Finally, GCF of Fractions for 501/752, 6578/849 is 1/638448.