GCD of 360, 697, 214, 530 Calculator

Given Input numbers are 360, 697, 214, 530

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

GCD of numbers is the greatest common divisor

So, the GCD (360, 697, 214, 530) = 1.

Given numbers are 360, 697, 214, 530

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 697 are 17 x 41

Prime factors of 214 are 2 x 107

Prime factors of 530 are 2 x 5 x 53

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

Given numbers are 360, 697, 214, 530

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

Apply this formula for all numbers.

Step1:

LCM(360, 697) = 250920

GCD(360, 697) = ( 360 x 697 ) / 250920

= 360 / 697

= 360

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

= 1 / 530

= 1

So, Greatest Common Divisor of 360, 697, 214, 530 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 972, 736, 353
• GCD of 488, 874, 831, 340
• GCD of 860, 975, 383, 370
• GCD of 402, 787, 832, 336
• GCD of 972, 410, 417, 116

Given numbers are 360, 697, 214, 530
The greatest common divisor of numbers 360, 697, 214, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 697, 214, 530 is 1.

1. What is the GCD of 360, 697, 214, 530?

GCD of given numbers 360, 697, 214, 530 is 1

2. How to calculate the greatest common divisor of 360, 697, 214, 530?

We can find the highest common divisor of 360, 697, 214, 530 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, 697, 214, 530 i.e 1.

3. How can I use the GCD of 360, 697, 214, 530Calculator?

Out the numbers 360, 697, 214, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.