GCD of 765, 624, 422, 144 Calculator

Given Input numbers are 765, 624, 422, 144

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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

GCD of numbers is the greatest common divisor

So, the GCD (765, 624, 422, 144) = 1.

Given numbers are 765, 624, 422, 144

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 422 are 2 x 211

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

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

Given numbers are 765, 624, 422, 144

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

Apply this formula for all numbers.

Step1:

LCM(765, 624) = 159120

GCD(765, 624) = ( 765 x 624 ) / 159120

= 765 / 624

= 765

Step2:

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

= 3 / 422

= 3

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 765, 624, 422, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 519, 833, 360
• GCD of 211, 708, 315, 734
• GCD of 699, 720, 676, 285
• GCD of 970, 276, 847, 417
• GCD of 581, 216, 859, 620

Given numbers are 765, 624, 422, 144
The greatest common divisor of numbers 765, 624, 422, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 624, 422, 144 is 1.

1. What is the GCD of 765, 624, 422, 144?

GCD of given numbers 765, 624, 422, 144 is 1

2. How to calculate the greatest common divisor of 765, 624, 422, 144?

We can find the highest common divisor of 765, 624, 422, 144 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 765, 624, 422, 144 i.e 1.

3. How can I use the GCD of 765, 624, 422, 144Calculator?

Out the numbers 765, 624, 422, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.