GCD of 360, 122, 974, 921 Calculator

Given Input numbers are 360, 122, 974, 921

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (360, 122, 974, 921) = 1.

Given numbers are 360, 122, 974, 921

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 974 are 2 x 487

Prime factors of 921 are 3 x 307

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

Given numbers are 360, 122, 974, 921

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, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

Step3:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2

So, Greatest Common Divisor of 360, 122, 974, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 535, 213, 329
• GCD of 386, 376, 224, 864
• GCD of 522, 617, 511, 196
• GCD of 181, 373, 268, 327
• GCD of 830, 173, 817, 621

Given numbers are 360, 122, 974, 921
The greatest common divisor of numbers 360, 122, 974, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 122, 974, 921 is 1.

1. What is the GCD of 360, 122, 974, 921?

GCD of given numbers 360, 122, 974, 921 is 1

2. How to calculate the greatest common divisor of 360, 122, 974, 921?

We can find the highest common divisor of 360, 122, 974, 921 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, 974, 921 i.e 1.

3. How can I use the GCD of 360, 122, 974, 921Calculator?

Out the numbers 360, 122, 974, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.