GCD of 537, 419, 109, 364 Calculator

Given Input numbers are 537, 419, 109, 364

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

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 419 :

The positive integer divisors of 419 that completely divides 419 are.

1, 419

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (537, 419, 109, 364) = 1.

Given numbers are 537, 419, 109, 364

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 419 are 419

Prime factors of 109 are 109

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 537, 419, 109, 364

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

Apply this formula for all numbers.

Step1:

LCM(537, 419) = 225003

GCD(537, 419) = ( 537 x 419 ) / 225003

= 537 / 419

= 537

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 537, 419, 109, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 348, 890, 887
• GCD of 504, 554, 604, 306
• GCD of 895, 250, 756, 171
• GCD of 420, 749, 738, 178
• GCD of 798, 558, 671, 251

Given numbers are 537, 419, 109, 364
The greatest common divisor of numbers 537, 419, 109, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 419, 109, 364 is 1.

1. What is the GCD of 537, 419, 109, 364?

GCD of given numbers 537, 419, 109, 364 is 1

2. How to calculate the greatest common divisor of 537, 419, 109, 364?

We can find the highest common divisor of 537, 419, 109, 364 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 537, 419, 109, 364 i.e 1.

3. How can I use the GCD of 537, 419, 109, 364Calculator?

Out the numbers 537, 419, 109, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.