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 855/238, 409/524

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 855/238, 409/524 i.e 1/62356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 855/238, 409/524.

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 855/238,409/524?

Given fractions are 855/238,409/524

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 855/238,409/524, numerators are 855,409

Denominators are 238,524

The GCF of 855,409 is 1 .

LCM of 238,524 is 62356.

The greatest common factor of 855/238,409/524 = [GCF of 855,409]/[LCM of 238,524]= 1/62356

Therefore, the GCF of 855/238,409/524 is 1/62356.

Greatest Common Factor of 855,409

To find the highest common factor of 855,409, we have to find the factors of both numbers and list the highest common factor.

The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

The factors of 409 are 1, 409

The HCF of 855,409 is 1.

Lets's calculate GCF of 855,409

Greatest Common Factor (GCF) of 855,409 By Common Division

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

Greatest Common Factor of 855,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,409 By Matching Biggest Common Factor Method

Now, list down the factors of 855

:

1,3,5,9,15,19,45,57,95,171,285,855

Now, list down the factors of 409

:

1,409

Greatest Common Factor

We found the factors 855,409 . The biggest common factor number is the GCF number.
So the greatest common factor 855,409 is 1.

Lets's calculate LCM of 238,524

Lowest Common Multiple of 238,524 using Common Division

2 238, 524
119, 262

∴ So the LCM of the given numbers is 2 x 119 x 262 = 62356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62356

Therefore, the GCF of Fractions 855/238,409/524 is 1/62356

Least Common Multiple of 238,524 with GCF Formula

Least Common Multiple of 238,524 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 238,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,524) = 2

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

GCF(238,524) x common factors =2 x 1 = 2

LCM(238,524) = ( 238 × 524 ) / 2

LCM(238,524) = 124712 / 2

LCM(238,524) = 62356


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 855/238, 409/524

1. What is the HCF of 855,409?

The HCF of 855,409 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 855/238, 409/524?

Answer: GCF of Numerators as per given numbers 855/238, 409/524 is

GCF of Numerators i.e. for 855,409 is 1

LCM of denominators i.e. for 238,524 is 62356.

Thus, GCF of Fractions is 1/62356.Finally, GCF of Fractions for 855/238, 409/524 is 1/62356.