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 865/524, 393/940

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 865/524, 393/940 i.e 1/123140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 865/524, 393/940.

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 865/524,393/940?

Given fractions are 865/524,393/940

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 865/524,393/940, numerators are 865,393

Denominators are 524,940

The GCF of 865,393 is 1 .

LCM of 524,940 is 123140.

The greatest common factor of 865/524,393/940 = [GCF of 865,393]/[LCM of 524,940]= 1/123140

Therefore, the GCF of 865/524,393/940 is 1/123140.

Greatest Common Factor of 865,393

To find the highest common factor of 865,393, we have to find the factors of both numbers and list the highest common factor.

The factors of 865 are 1, 5, 173, 865

The factors of 393 are 1, 3, 131, 393

The HCF of 865,393 is 1.

Lets's calculate GCF of 865,393

Greatest Common Factor (GCF) of 865,393 By Common Division

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

Greatest Common Factor of 865,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,393 By Matching Biggest Common Factor Method

Now, list down the factors of 865

:

1,5,173,865

Now, list down the factors of 393

:

1,3,131,393

Greatest Common Factor

We found the factors 865,393 . The biggest common factor number is the GCF number.
So the greatest common factor 865,393 is 1.

Lets's calculate LCM of 524,940

Lowest Common Multiple of 524,940 using Common Division

2 524, 940
2 262, 470
131, 235

∴ So the LCM of the given numbers is 2 x 2 x 131 x 235 = 123140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123140

Therefore, the GCF of Fractions 865/524,393/940 is 1/123140

Least Common Multiple of 524,940 with GCF Formula

Least Common Multiple of 524,940 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 524,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,940) = 4

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

GCF(524,940) x common factors =4 x 1 = 4

LCM(524,940) = ( 524 × 940 ) / 4

LCM(524,940) = 492560 / 4

LCM(524,940) = 123140


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 865/524, 393/940

1. What is the HCF of 865,393?

The HCF of 865,393 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 865/524, 393/940?

Answer: GCF of Numerators as per given numbers 865/524, 393/940 is

GCF of Numerators i.e. for 865,393 is 1

LCM of denominators i.e. for 524,940 is 123140.

Thus, GCF of Fractions is 1/123140.Finally, GCF of Fractions for 865/524, 393/940 is 1/123140.