GCD of 598, 921, 956, 153 Calculator

Given Input numbers are 598, 921, 956, 153

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

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 598, 921, 956, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 921, 956, 153 is 1.

Therefore, GCD of numbers 598, 921, 956, 153 is 1

Given Input Data is 598, 921, 956, 153

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 921 is 3 x 307

Prime Factorization of 956 is 2 x 2 x 239

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(598, 921) = 550758

GCD(598, 921) = ( 598 x 921 ) / 550758

GCD(598, 921) = 550758 / 550758

GCD(598, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 598, 921, 956, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 684, 892, 698
• GCD of 119, 946, 598, 663
• GCD of 656, 870, 411, 527
• GCD of 281, 146, 347, 122
• GCD of 646, 584, 354, 510

1. What is the GCD of 598, 921, 956, 153?

GCD of 598, 921, 956, 153 is 1

2. Where do I get the detailed procedure to find GCD of 598, 921, 956, 153?

You can find a detailed procedure to find GCD of 598, 921, 956, 153 on our page.

3. How to find GCD of 598, 921, 956, 153 on a calculator?

You can find the GCD of 598, 921, 956, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.