GCD of 154, 856, 651, 654 Calculator

Given Input numbers are 154, 856, 651, 654

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 654

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

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

Greatest Common Divisior

We found the divisors of 154, 856, 651, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 856, 651, 654 is 1.

Therefore, GCD of numbers 154, 856, 651, 654 is 1

Given Input Data is 154, 856, 651, 654

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 654 is 2 x 3 x 109

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(154, 856) = 65912

GCD(154, 856) = ( 154 x 856 ) / 65912

GCD(154, 856) = 131824 / 65912

GCD(154, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 651

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

LCM(2, 651) = 1302

GCD(2, 651) = ( 2 x 651 ) / 1302

GCD(2, 651) = 1302 / 1302

GCD(2, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 154, 856, 651, 654 is 1

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1. What is the GCD of 154, 856, 651, 654?

GCD of 154, 856, 651, 654 is 1

2. Where do I get the detailed procedure to find GCD of 154, 856, 651, 654?

You can find a detailed procedure to find GCD of 154, 856, 651, 654 on our page.

3. How to find GCD of 154, 856, 651, 654 on a calculator?

You can find the GCD of 154, 856, 651, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.