GCD of 945, 625, 160, 320 Calculator

Given Input numbers are 945, 625, 160, 320

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

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 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 945, 625, 160, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 625, 160, 320 is 5.

Therefore, GCD of numbers 945, 625, 160, 320 is 5

Given Input Data is 945, 625, 160, 320

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 625 is 5 x 5 x 5 x 5

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(945, 625) = 118125

GCD(945, 625) = ( 945 x 625 ) / 118125

GCD(945, 625) = 590625 / 118125

GCD(945, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 160

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

LCM(5, 160) = 160

GCD(5, 160) = ( 5 x 160 ) / 160

GCD(5, 160) = 800 / 160

GCD(5, 160) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 320

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

LCM(5, 320) = 320

GCD(5, 320) = ( 5 x 320 ) / 320

GCD(5, 320) = 1600 / 320

GCD(5, 320) = 5

GCD of 945, 625, 160, 320 is 5

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1. What is the GCD of 945, 625, 160, 320?

GCD of 945, 625, 160, 320 is 5

2. Where do I get the detailed procedure to find GCD of 945, 625, 160, 320?

You can find a detailed procedure to find GCD of 945, 625, 160, 320 on our page.

3. How to find GCD of 945, 625, 160, 320 on a calculator?

You can find the GCD of 945, 625, 160, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.