GCD of 946, 402, 654, 906 Calculator

Given Input numbers are 946, 402, 654, 906

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 946, 402, 654, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 402, 654, 906 is 2.

Therefore, GCD of numbers 946, 402, 654, 906 is 2

Given Input Data is 946, 402, 654, 906

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 402 is 2 x 3 x 67

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 906 is 2 x 3 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 402) = 190146

GCD(946, 402) = ( 946 x 402 ) / 190146

GCD(946, 402) = 380292 / 190146

GCD(946, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 654

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

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

GCD(2, 654) = 1308 / 654

GCD(2, 654) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

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

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 946, 402, 654, 906 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 823, 350, 269
• GCD of 804, 250, 908, 838
• GCD of 977, 374, 942, 836
• GCD of 739, 926, 273, 927
• GCD of 425, 779, 218, 405

1. What is the GCD of 946, 402, 654, 906?

GCD of 946, 402, 654, 906 is 2

2. Where do I get the detailed procedure to find GCD of 946, 402, 654, 906?

You can find a detailed procedure to find GCD of 946, 402, 654, 906 on our page.

3. How to find GCD of 946, 402, 654, 906 on a calculator?

You can find the GCD of 946, 402, 654, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.