GCD of 360, 640, 65, 722 Calculator

Given Input numbers are 360, 640, 65, 722

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 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (360, 640, 65, 722) = 1.

Given numbers are 360, 640, 65, 722

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 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 65 are 5 x 13

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 360, 640, 65, 722

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

Apply this formula for all numbers.

Step1:

LCM(360, 640) = 5760

GCD(360, 640) = ( 360 x 640 ) / 5760

= 360 / 640

= 360

Step2:

LCM(40, 65) = 520

GCD(40, 65) = ( 40 x 65 ) / 520

= 40 / 65

= 40

Step3:

LCM(5, 722) = 3610

GCD(5, 722) = ( 5 x 722 ) / 3610

= 5 / 722

= 5

So, Greatest Common Divisor of 360, 640, 65, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 848, 59, 154
• GCD of 213, 707, 22, 937
• GCD of 233, 414, 71, 366
• GCD of 254, 233, 28, 943
• GCD of 337, 282, 23, 934

Given numbers are 360, 640, 65, 722
The greatest common divisor of numbers 360, 640, 65, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 640, 65, 722 is 1.

1. What is the GCD of 360, 640, 65, 722?

GCD of given numbers 360, 640, 65, 722 is 1

2. How to calculate the greatest common divisor of 360, 640, 65, 722?

We can find the highest common divisor of 360, 640, 65, 722 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, 640, 65, 722 i.e 1.

3. How can I use the GCD of 360, 640, 65, 722Calculator?

Out the numbers 360, 640, 65, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.