GCD of 360, 603, 465, 654 Calculator

Given Input numbers are 360, 603, 465, 654

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

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

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 654 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 603, 465, 654) = 3.

Given numbers are 360, 603, 465, 654

The list of prime factors of all numbers are

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

Prime factors of 603 are 3 x 3 x 67

Prime factors of 465 are 3 x 5 x 31

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 360, 603, 465, 654 is 3.

Given numbers are 360, 603, 465, 654

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

Apply this formula for all numbers.

Step1:

LCM(360, 603) = 24120

GCD(360, 603) = ( 360 x 603 ) / 24120

= 360 / 603

= 360

Step2:

LCM(9, 465) = 1395

GCD(9, 465) = ( 9 x 465 ) / 1395

= 9 / 465

= 9

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 360, 603, 465, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 999, 296, 279
• GCD of 567, 683, 645, 891
• GCD of 478, 554, 758, 204
• GCD of 189, 367, 717, 881
• GCD of 577, 601, 461, 141

Given numbers are 360, 603, 465, 654
The greatest common divisor of numbers 360, 603, 465, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 603, 465, 654 is 3.

1. What is the GCD of 360, 603, 465, 654?

GCD of given numbers 360, 603, 465, 654 is 3

2. How to calculate the greatest common divisor of 360, 603, 465, 654?

We can find the highest common divisor of 360, 603, 465, 654 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 360, 603, 465, 654 i.e 3.

3. How can I use the GCD of 360, 603, 465, 654Calculator?

Out the numbers 360, 603, 465, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.