GCD of 507, 138, 280, 344 Calculator

Given Input numbers are 507, 138, 280, 344

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (507, 138, 280, 344) = 1.

Given numbers are 507, 138, 280, 344

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 507, 138, 280, 344

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

Apply this formula for all numbers.

Step1:

LCM(507, 138) = 23322

GCD(507, 138) = ( 507 x 138 ) / 23322

= 507 / 138

= 507

Step2:

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

= 3 / 280

= 3

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 507, 138, 280, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 391, 384, 177
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Given numbers are 507, 138, 280, 344
The greatest common divisor of numbers 507, 138, 280, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 138, 280, 344 is 1.

1. What is the GCD of 507, 138, 280, 344?

GCD of given numbers 507, 138, 280, 344 is 1

2. How to calculate the greatest common divisor of 507, 138, 280, 344?

We can find the highest common divisor of 507, 138, 280, 344 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, 138, 280, 344 i.e 1.

3. How can I use the GCD of 507, 138, 280, 344Calculator?

Out the numbers 507, 138, 280, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.