GCD of 507, 780, 349, 458 Calculator

Given Input numbers are 507, 780, 349, 458

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (507, 780, 349, 458) = 1.

Given numbers are 507, 780, 349, 458

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 349 are 349

Prime factors of 458 are 2 x 229

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

Given numbers are 507, 780, 349, 458

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

Apply this formula for all numbers.

Step1:

LCM(507, 780) = 10140

GCD(507, 780) = ( 507 x 780 ) / 10140

= 507 / 780

= 507

Step2:

LCM(39, 349) = 13611

GCD(39, 349) = ( 39 x 349 ) / 13611

= 39 / 349

= 39

Step3:

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

= 1 / 458

= 1

So, Greatest Common Divisor of 507, 780, 349, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 923, 841, 102
• GCD of 448, 927, 501, 436
• GCD of 593, 917, 681, 405
• GCD of 665, 728, 303, 656
• GCD of 642, 570, 304, 826

Given numbers are 507, 780, 349, 458
The greatest common divisor of numbers 507, 780, 349, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 780, 349, 458 is 1.

1. What is the GCD of 507, 780, 349, 458?

GCD of given numbers 507, 780, 349, 458 is 1

2. How to calculate the greatest common divisor of 507, 780, 349, 458?

We can find the highest common divisor of 507, 780, 349, 458 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 507, 780, 349, 458 i.e 1.

3. How can I use the GCD of 507, 780, 349, 458Calculator?

Out the numbers 507, 780, 349, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.