GCD of 654, 552, 842, 360 Calculator

Given Input numbers are 654, 552, 842, 360

In the factoring method, we have to find the divisors of all numbers

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (654, 552, 842, 360) = 2.

Given numbers are 654, 552, 842, 360

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 842 are 2 x 421

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 654, 552, 842, 360 is 2.

Given numbers are 654, 552, 842, 360

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(654, 552) = 60168

GCD(654, 552) = ( 654 x 552 ) / 60168

= 654 / 552

= 654

Step2:

LCM(6, 842) = 2526

GCD(6, 842) = ( 6 x 842 ) / 2526

= 6 / 842

= 6

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 654, 552, 842, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 132, 747, 321
• GCD of 722, 875, 536, 179
• GCD of 280, 120, 302, 251
• GCD of 679, 481, 114, 175
• GCD of 445, 504, 178, 978

Given numbers are 654, 552, 842, 360
The greatest common divisor of numbers 654, 552, 842, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 552, 842, 360 is 2.

1. What is the GCD of 654, 552, 842, 360?

GCD of given numbers 654, 552, 842, 360 is 2

2. How to calculate the greatest common divisor of 654, 552, 842, 360?

We can find the highest common divisor of 654, 552, 842, 360 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 654, 552, 842, 360 i.e 2.

3. How can I use the GCD of 654, 552, 842, 360Calculator?

Out the numbers 654, 552, 842, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.