GCD of 120, 605, 269, 365 Calculator

Given Input numbers are 120, 605, 269, 365

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 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

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 (120, 605, 269, 365) = 1.

Given numbers are 120, 605, 269, 365

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 605 are 5 x 11 x 11

Prime factors of 269 are 269

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 120, 605, 269, 365

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

Apply this formula for all numbers.

Step1:

LCM(120, 605) = 14520

GCD(120, 605) = ( 120 x 605 ) / 14520

= 120 / 605

= 120

Step2:

LCM(5, 269) = 1345

GCD(5, 269) = ( 5 x 269 ) / 1345

= 5 / 269

= 5

Step3:

LCM(1, 365) = 365

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

= 1 / 365

= 1

So, Greatest Common Divisor of 120, 605, 269, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 822, 109, 479
• GCD of 573, 836, 665, 887
• GCD of 796, 498, 787, 327
• GCD of 578, 793, 199, 566
• GCD of 537, 829, 594, 202

Given numbers are 120, 605, 269, 365
The greatest common divisor of numbers 120, 605, 269, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 605, 269, 365 is 1.

1. What is the GCD of 120, 605, 269, 365?

GCD of given numbers 120, 605, 269, 365 is 1

2. How to calculate the greatest common divisor of 120, 605, 269, 365?

We can find the highest common divisor of 120, 605, 269, 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 120, 605, 269, 365 i.e 1.

3. How can I use the GCD of 120, 605, 269, 365Calculator?

Out the numbers 120, 605, 269, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.