GCD of 66, 552, 838, 153 Calculator

Given Input numbers are 66, 552, 838, 153

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

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 66, 552, 838, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 552, 838, 153 is 1.

Therefore, GCD of numbers 66, 552, 838, 153 is 1

Given Input Data is 66, 552, 838, 153

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 838 is 2 x 419

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(66, 552) = 6072

GCD(66, 552) = ( 66 x 552 ) / 6072

GCD(66, 552) = 36432 / 6072

GCD(66, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 838

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

LCM(6, 838) = 2514

GCD(6, 838) = ( 6 x 838 ) / 2514

GCD(6, 838) = 5028 / 2514

GCD(6, 838) = 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 66, 552, 838, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 147, 450, 990
• GCD of 92, 550, 146, 948
• GCD of 77, 119, 625, 294
• GCD of 94, 192, 381, 889
• GCD of 42, 301, 522, 703

1. What is the GCD of 66, 552, 838, 153?

GCD of 66, 552, 838, 153 is 1

2. Where do I get the detailed procedure to find GCD of 66, 552, 838, 153?

You can find a detailed procedure to find GCD of 66, 552, 838, 153 on our page.

3. How to find GCD of 66, 552, 838, 153 on a calculator?

You can find the GCD of 66, 552, 838, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.