GCD of 946, 528, 20, 153 Calculator

Given Input numbers are 946, 528, 20, 153

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 946, 528, 20, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 528, 20, 153 is 1.

Therefore, GCD of numbers 946, 528, 20, 153 is 1

Given Input Data is 946, 528, 20, 153

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 153 is 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(946, 528) = 22704

GCD(946, 528) = ( 946 x 528 ) / 22704

GCD(946, 528) = 499488 / 22704

GCD(946, 528) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 20

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

LCM(22, 20) = 220

GCD(22, 20) = ( 22 x 20 ) / 220

GCD(22, 20) = 440 / 220

GCD(22, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 946, 528, 20, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 379, 95, 314
• GCD of 219, 765, 30, 135
• GCD of 329, 193, 91, 938
• GCD of 340, 203, 76, 869
• GCD of 464, 125, 10, 395

1. What is the GCD of 946, 528, 20, 153?

GCD of 946, 528, 20, 153 is 1

2. Where do I get the detailed procedure to find GCD of 946, 528, 20, 153?

You can find a detailed procedure to find GCD of 946, 528, 20, 153 on our page.

3. How to find GCD of 946, 528, 20, 153 on a calculator?

You can find the GCD of 946, 528, 20, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.