GCD of 370, 420, 144, 367 Calculator

Given Input numbers are 370, 420, 144, 367

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (370, 420, 144, 367) = 1.

Given numbers are 370, 420, 144, 367

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 367 are 367

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

Given numbers are 370, 420, 144, 367

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

Apply this formula for all numbers.

Step1:

LCM(370, 420) = 15540

GCD(370, 420) = ( 370 x 420 ) / 15540

= 370 / 420

= 370

Step2:

LCM(10, 144) = 720

GCD(10, 144) = ( 10 x 144 ) / 720

= 10 / 144

= 10

Step3:

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

= 2 / 367

= 2

So, Greatest Common Divisor of 370, 420, 144, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 737, 712, 654
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• GCD of 860, 884, 242, 195

Given numbers are 370, 420, 144, 367
The greatest common divisor of numbers 370, 420, 144, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 420, 144, 367 is 1.

1. What is the GCD of 370, 420, 144, 367?

GCD of given numbers 370, 420, 144, 367 is 1

2. How to calculate the greatest common divisor of 370, 420, 144, 367?

We can find the highest common divisor of 370, 420, 144, 367 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 370, 420, 144, 367 i.e 1.

3. How can I use the GCD of 370, 420, 144, 367Calculator?

Out the numbers 370, 420, 144, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.