Greatest Common Factor of 238/85, 899/86, 732/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/85, 899/86, 732/852

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 238/85,899/86,732/852

Given fractions are 238/85,899/86,732/852

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 238,899,732

Greatest Common Factor of Numerators i.e. GCF of 238,899,732 is 1 .

LCM of Denominators means LCM of 85,86,852 as per the given fractions.

LCM of 85,86,852 is 3114060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,899,732

GCF of Fractions 238/85,899/86,732/852 is 1/3114060

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

Greatest Common Factor of 238,899,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,899,732 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 238,899,732 . The biggest common factor number is the GCF number.
So the greatest common factor 238,899,732 is 1.

Lets's calculate LCM of 85,86,852

2 85, 86, 852
85, 43, 426

∴ So the LCM of the given numbers is 2 x 85 x 43 x 426 = 3114060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3114060

Therefore, the GCF of Fractions 238/85,899/86,732/852 is 1/3114060

Least Common Multiple of 85,86,852 with GCF Formula

Least Common Multiple of 85,86,852 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 85,86,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,86,852) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,86,852) x common factors =1 x 2 = 2

LCM(85,86,852) = ( 85 × 86 × 852 ) / 2

LCM(85,86,852) = 6228120 / 2

LCM(85,86,852) = 3114060


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 238/85, 899/86, 732/852

1. 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.

2. What is the GCF of Fractions for 238/85, 899/86, 732/852?

Answer: GCF of Numerators as per given numbers 238/85, 899/86, 732/852 is

GCF of Numerators i.e. for 238,899,732 is 1

LCM of denominators i.e. for 85,86,852 is 3114060.

Thus, GCF of Fractions is 1/3114060.Finally, GCF of Fractions for 238/85, 899/86, 732/852 is 1/3114060.