Greatest Common Factor of 162/50, 395/52, 905/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/50, 395/52, 905/871

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 162/50,395/52,905/871

Given fractions are 162/50,395/52,905/871

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 162,395,905

Greatest Common Factor of Numerators i.e. GCF of 162,395,905 is 1 .

LCM of Denominators means LCM of 50,52,871 as per the given fractions.

LCM of 50,52,871 is 87100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,395,905

GCF of Fractions 162/50,395/52,905/871 is 1/87100

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

Greatest Common Factor of 162,395,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,395,905 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 162,395,905 . The biggest common factor number is the GCF number.
So the greatest common factor 162,395,905 is 1.

Lets's calculate LCM of 50,52,871

2 50, 52, 871
13 25, 26, 871
25, 2, 67

∴ So the LCM of the given numbers is 2 x 13 x 25 x 2 x 67 = 87100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87100

Therefore, the GCF of Fractions 162/50,395/52,905/871 is 1/87100

Least Common Multiple of 50,52,871 with GCF Formula

Least Common Multiple of 50,52,871 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 50,52,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,52,871) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(50,52,871) x common factors =1 x 26 = 26

LCM(50,52,871) = ( 50 × 52 × 871 ) / 26

LCM(50,52,871) = 2264600 / 26

LCM(50,52,871) = 87100


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 162/50, 395/52, 905/871

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 162/50, 395/52, 905/871?

Answer: GCF of Numerators as per given numbers 162/50, 395/52, 905/871 is

GCF of Numerators i.e. for 162,395,905 is 1

LCM of denominators i.e. for 50,52,871 is 87100.

Thus, GCF of Fractions is 1/87100.Finally, GCF of Fractions for 162/50, 395/52, 905/871 is 1/87100.