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GCF of 501/485, 554/749

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 501/485, 554/749 i.e 1/363265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/485, 554/749.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 501/485,554/749?

Given fractions are 501/485,554/749

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 501/485,554/749, numerators are 501,554

Denominators are 485,749

The GCF of 501,554 is 1 .

LCM of 485,749 is 363265.

The greatest common factor of 501/485,554/749 = [GCF of 501,554]/[LCM of 485,749]= 1/363265

Therefore, the GCF of 501/485,554/749 is 1/363265.

Greatest Common Factor of 501,554

To find the highest common factor of 501,554, 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 554 are 1, 2, 277, 554

The HCF of 501,554 is 1.

Lets's calculate GCF of 501,554

Greatest Common Factor (GCF) of 501,554 By Common Division

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

Greatest Common Factor of 501,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,554 By Matching Biggest Common Factor Method

Now, list down the factors of 501

:

1,3,167,501

Now, list down the factors of 554

:

1,2,277,554

Greatest Common Factor

We found the factors 501,554 . The biggest common factor number is the GCF number.
So the greatest common factor 501,554 is 1.

Lets's calculate LCM of 485,749

Lowest Common Multiple of 485,749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 363265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/363265

Therefore, the GCF of Fractions 501/485,554/749 is 1/363265

Least Common Multiple of 485,749 with GCF Formula

Least Common Multiple of 485,749 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 485,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,749) = 1

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

GCF(485,749) x common factors =1 x 1 = 1

LCM(485,749) = ( 485 × 749 ) / 1

LCM(485,749) = 363265 / 1

LCM(485,749) = 363265


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FAQs on GCF of Fractions of 501/485, 554/749

1. What is the HCF of 501,554?

The HCF of 501,554 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 501/485, 554/749?

Answer: GCF of Numerators as per given numbers 501/485, 554/749 is

GCF of Numerators i.e. for 501,554 is 1

LCM of denominators i.e. for 485,749 is 363265.

Thus, GCF of Fractions is 1/363265.Finally, GCF of Fractions for 501/485, 554/749 is 1/363265.