GCD of 120, 364, 905, 764 Calculator

Given Input numbers are 120, 364, 905, 764

In the factoring method, we have to find the divisors of all numbers

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (120, 364, 905, 764) = 1.

Given numbers are 120, 364, 905, 764

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 905 are 5 x 181

Prime factors of 764 are 2 x 2 x 191

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

Given numbers are 120, 364, 905, 764

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

Apply this formula for all numbers.

Step1:

LCM(120, 364) = 10920

GCD(120, 364) = ( 120 x 364 ) / 10920

= 120 / 364

= 120

Step2:

LCM(4, 905) = 3620

GCD(4, 905) = ( 4 x 905 ) / 3620

= 4 / 905

= 4

Step3:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

So, Greatest Common Divisor of 120, 364, 905, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 121, 752, 492
• GCD of 356, 634, 374, 799
• GCD of 156, 546, 522, 718
• GCD of 561, 894, 955, 946
• GCD of 599, 607, 387, 712

Given numbers are 120, 364, 905, 764
The greatest common divisor of numbers 120, 364, 905, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 364, 905, 764 is 1.

1. What is the GCD of 120, 364, 905, 764?

GCD of given numbers 120, 364, 905, 764 is 1

2. How to calculate the greatest common divisor of 120, 364, 905, 764?

We can find the highest common divisor of 120, 364, 905, 764 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 120, 364, 905, 764 i.e 1.

3. How can I use the GCD of 120, 364, 905, 764Calculator?

Out the numbers 120, 364, 905, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.