GCD of 235, 120, 504, 365 Calculator

Given Input numbers are 235, 120, 504, 365

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (235, 120, 504, 365) = 1.

Given numbers are 235, 120, 504, 365

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 365 are 5 x 73

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

Given numbers are 235, 120, 504, 365

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

Apply this formula for all numbers.

Step1:

LCM(235, 120) = 5640

GCD(235, 120) = ( 235 x 120 ) / 5640

= 235 / 120

= 235

Step2:

LCM(5, 504) = 2520

GCD(5, 504) = ( 5 x 504 ) / 2520

= 5 / 504

= 5

Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

So, Greatest Common Divisor of 235, 120, 504, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 124, 818, 615
• GCD of 303, 235, 890, 529
• GCD of 160, 544, 899, 561
• GCD of 573, 106, 200, 166
• GCD of 445, 580, 525, 460

Given numbers are 235, 120, 504, 365
The greatest common divisor of numbers 235, 120, 504, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 120, 504, 365 is 1.

1. What is the GCD of 235, 120, 504, 365?

GCD of given numbers 235, 120, 504, 365 is 1

2. How to calculate the greatest common divisor of 235, 120, 504, 365?

We can find the highest common divisor of 235, 120, 504, 365 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 235, 120, 504, 365 i.e 1.

3. How can I use the GCD of 235, 120, 504, 365Calculator?

Out the numbers 235, 120, 504, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.