GCD of 360, 122, 690, 251 Calculator

Given Input numbers are 360, 122, 690, 251

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

GCD of numbers is the greatest common divisor

So, the GCD (360, 122, 690, 251) = 1.

Given numbers are 360, 122, 690, 251

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 122 are 2 x 61

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 251 are 251

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

Given numbers are 360, 122, 690, 251

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

Apply this formula for all numbers.

Step1:

LCM(360, 122) = 21960

GCD(360, 122) = ( 360 x 122 ) / 21960

= 360 / 122

= 360

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

= 2 / 251

= 2

So, Greatest Common Divisor of 360, 122, 690, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 361, 243, 886
• GCD of 392, 937, 961, 118
• GCD of 928, 415, 285, 593
• GCD of 858, 735, 499, 633
• GCD of 580, 954, 657, 471

Given numbers are 360, 122, 690, 251
The greatest common divisor of numbers 360, 122, 690, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 122, 690, 251 is 1.

1. What is the GCD of 360, 122, 690, 251?

GCD of given numbers 360, 122, 690, 251 is 1

2. How to calculate the greatest common divisor of 360, 122, 690, 251?

We can find the highest common divisor of 360, 122, 690, 251 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, 122, 690, 251 i.e 1.

3. How can I use the GCD of 360, 122, 690, 251Calculator?

Out the numbers 360, 122, 690, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.