GCD of 152, 868, 214, 160 Calculator

Given Input numbers are 152, 868, 214, 160

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 152, 868, 214, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 868, 214, 160 is 2.

Therefore, GCD of numbers 152, 868, 214, 160 is 2

Given Input Data is 152, 868, 214, 160

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 214 is 2 x 107

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(152, 868) = 32984

GCD(152, 868) = ( 152 x 868 ) / 32984

GCD(152, 868) = 131936 / 32984

GCD(152, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 214

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

GCD(4, 214) = 856 / 428

GCD(4, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 152, 868, 214, 160 is 2

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1. What is the GCD of 152, 868, 214, 160?

GCD of 152, 868, 214, 160 is 2

2. Where do I get the detailed procedure to find GCD of 152, 868, 214, 160?

You can find a detailed procedure to find GCD of 152, 868, 214, 160 on our page.

3. How to find GCD of 152, 868, 214, 160 on a calculator?

You can find the GCD of 152, 868, 214, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.