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GCF of 501/85, 375/530

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 501/85, 375/530 i.e 3/9010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 501/85, 375/530.

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 501/85,375/530?

Given fractions are 501/85,375/530

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 501/85,375/530, numerators are 501,375

Denominators are 85,530

The GCF of 501,375 is 3 .

LCM of 85,530 is 9010.

The greatest common factor of 501/85,375/530 = [GCF of 501,375]/[LCM of 85,530]= 3/9010

Therefore, the GCF of 501/85,375/530 is 3/9010.

Greatest Common Factor of 501,375

To find the highest common factor of 501,375, 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 375 are 1, 3, 5, 15, 25, 75, 125, 375

The HCF of 501,375 is 3.

Lets's calculate GCF of 501,375

Greatest Common Factor (GCF) of 501,375 By Common Division

3 501, 375
167, 125

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 501,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,375 By Matching Biggest Common Factor Method

Now, list down the factors of 501

:

1,3,167,501

Now, list down the factors of 375

:

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 501,375 . The biggest common factor number is the GCF number.
So the greatest common factor 501,375 is 3.


Lets's calculate LCM of 85,530

Lowest Common Multiple of 85,530 using Common Division

5 85, 530
17, 106

∴ So the LCM of the given numbers is 5 x 17 x 106 = 9010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9010

Therefore, the GCF of Fractions 501/85,375/530 is 3/9010

Least Common Multiple of 85,530 with GCF Formula

Least Common Multiple of 85,530 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 85,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,530) = 5

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

GCF(85,530) x common factors =5 x 1 = 5

LCM(85,530) = ( 85 × 530 ) / 5

LCM(85,530) = 45050 / 5

LCM(85,530) = 9010


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 501/85, 375/530

1. What is the HCF of 501,375?

The HCF of 501,375 is 3

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 501/85, 375/530?

Answer: GCF of Numerators as per given numbers 501/85, 375/530 is

GCF of Numerators i.e. for 501,375 is 3

LCM of denominators i.e. for 85,530 is 9010.

Thus, GCF of Fractions is 3/9010.Finally, GCF of Fractions for 501/85, 375/530 is 3/9010.