LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 875/231, 431/501

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 875/231, 431/501 i.e 1/38577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 875/231, 431/501.

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 875/231,431/501?

Given fractions are 875/231,431/501

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 875/231,431/501, numerators are 875,431

Denominators are 231,501

The GCF of 875,431 is 1 .

LCM of 231,501 is 38577.

The greatest common factor of 875/231,431/501 = [GCF of 875,431]/[LCM of 231,501]= 1/38577

Therefore, the GCF of 875/231,431/501 is 1/38577.

Greatest Common Factor of 875,431

To find the highest common factor of 875,431, we have to find the factors of both numbers and list the highest common factor.

The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875

The factors of 431 are 1, 431

The HCF of 875,431 is 1.

Lets's calculate GCF of 875,431

Greatest Common Factor (GCF) of 875,431 By Common Division

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

Greatest Common Factor of 875,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,431 By Matching Biggest Common Factor Method

Now, list down the factors of 875

:

1,5,7,25,35,125,175,875

Now, list down the factors of 431

:

1,431

Greatest Common Factor

We found the factors 875,431 . The biggest common factor number is the GCF number.
So the greatest common factor 875,431 is 1.

Lets's calculate LCM of 231,501

Lowest Common Multiple of 231,501 using Common Division

3 231, 501
77, 167

∴ So the LCM of the given numbers is 3 x 77 x 167 = 38577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38577

Therefore, the GCF of Fractions 875/231,431/501 is 1/38577

Least Common Multiple of 231,501 with GCF Formula

Least Common Multiple of 231,501 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 231,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,501) = 3

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

GCF(231,501) x common factors =3 x 1 = 3

LCM(231,501) = ( 231 × 501 ) / 3

LCM(231,501) = 115731 / 3

LCM(231,501) = 38577


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 875/231, 431/501

1. What is the HCF of 875,431?

The HCF of 875,431 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 875/231, 431/501?

Answer: GCF of Numerators as per given numbers 875/231, 431/501 is

GCF of Numerators i.e. for 875,431 is 1

LCM of denominators i.e. for 231,501 is 38577.

Thus, GCF of Fractions is 1/38577.Finally, GCF of Fractions for 875/231, 431/501 is 1/38577.