GCD of 360, 370, 123, 648 Calculator

Given Input numbers are 360, 370, 123, 648

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (360, 370, 123, 648) = 1.

Given numbers are 360, 370, 123, 648

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 370 are 2 x 5 x 37

Prime factors of 123 are 3 x 41

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 360, 370, 123, 648

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

Apply this formula for all numbers.

Step1:

LCM(360, 370) = 13320

GCD(360, 370) = ( 360 x 370 ) / 13320

= 360 / 370

= 360

Step2:

LCM(10, 123) = 1230

GCD(10, 123) = ( 10 x 123 ) / 1230

= 10 / 123

= 10

Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

So, Greatest Common Divisor of 360, 370, 123, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 157, 547, 781
• GCD of 390, 729, 286, 114
• GCD of 564, 655, 358, 642
• GCD of 620, 142, 831, 315
• GCD of 473, 347, 219, 129

Given numbers are 360, 370, 123, 648
The greatest common divisor of numbers 360, 370, 123, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 370, 123, 648 is 1.

1. What is the GCD of 360, 370, 123, 648?

GCD of given numbers 360, 370, 123, 648 is 1

2. How to calculate the greatest common divisor of 360, 370, 123, 648?

We can find the highest common divisor of 360, 370, 123, 648 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, 370, 123, 648 i.e 1.

3. How can I use the GCD of 360, 370, 123, 648Calculator?

Out the numbers 360, 370, 123, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.