GCD of 525, 378, 342, 422 Calculator

Given Input numbers are 525, 378, 342, 422

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 422 :

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

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (525, 378, 342, 422) = 1.

Given numbers are 525, 378, 342, 422

The list of prime factors of all numbers are

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 422 are 2 x 211

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

Given numbers are 525, 378, 342, 422

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

Apply this formula for all numbers.

Step1:

LCM(525, 378) = 9450

GCD(525, 378) = ( 525 x 378 ) / 9450

= 525 / 378

= 525

Step2:

LCM(21, 342) = 2394

GCD(21, 342) = ( 21 x 342 ) / 2394

= 21 / 342

= 21

Step3:

LCM(3, 422) = 1266

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

= 3 / 422

= 3

So, Greatest Common Divisor of 525, 378, 342, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 163, 771, 530
• GCD of 253, 299, 995, 425
• GCD of 785, 526, 193, 488
• GCD of 600, 212, 508, 616
• GCD of 900, 432, 314, 430

Given numbers are 525, 378, 342, 422
The greatest common divisor of numbers 525, 378, 342, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 378, 342, 422 is 1.

1. What is the GCD of 525, 378, 342, 422?

GCD of given numbers 525, 378, 342, 422 is 1

2. How to calculate the greatest common divisor of 525, 378, 342, 422?

We can find the highest common divisor of 525, 378, 342, 422 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 525, 378, 342, 422 i.e 1.

3. How can I use the GCD of 525, 378, 342, 422Calculator?

Out the numbers 525, 378, 342, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.