GCD of 924, 160, 70, 644 Calculator

Given Input numbers are 924, 160, 70, 644

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 924, 160, 70, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 160, 70, 644 is 2.

Therefore, GCD of numbers 924, 160, 70, 644 is 2

Given Input Data is 924, 160, 70, 644

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(924, 160) = 36960

GCD(924, 160) = ( 924 x 160 ) / 36960

GCD(924, 160) = 147840 / 36960

GCD(924, 160) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 924, 160, 70, 644 is 2

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1. What is the GCD of 924, 160, 70, 644?

GCD of 924, 160, 70, 644 is 2

2. Where do I get the detailed procedure to find GCD of 924, 160, 70, 644?

You can find a detailed procedure to find GCD of 924, 160, 70, 644 on our page.

3. How to find GCD of 924, 160, 70, 644 on a calculator?

You can find the GCD of 924, 160, 70, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.