GCD of 153, 654, 941, 942 Calculator

Given Input numbers are 153, 654, 941, 942

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

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 153, 654, 941, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 654, 941, 942 is 1.

Therefore, GCD of numbers 153, 654, 941, 942 is 1

Given Input Data is 153, 654, 941, 942

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 941 is 941

Prime Factorization of 942 is 2 x 3 x 157

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(153, 654) = 33354

GCD(153, 654) = ( 153 x 654 ) / 33354

GCD(153, 654) = 100062 / 33354

GCD(153, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 941

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

LCM(3, 941) = 2823

GCD(3, 941) = ( 3 x 941 ) / 2823

GCD(3, 941) = 2823 / 2823

GCD(3, 941) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 153, 654, 941, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 817, 690, 521
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• GCD of 626, 631, 169, 695

1. What is the GCD of 153, 654, 941, 942?

GCD of 153, 654, 941, 942 is 1

2. Where do I get the detailed procedure to find GCD of 153, 654, 941, 942?

You can find a detailed procedure to find GCD of 153, 654, 941, 942 on our page.

3. How to find GCD of 153, 654, 941, 942 on a calculator?

You can find the GCD of 153, 654, 941, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.