GCD of 138, 567, 840, 638 Calculator

Given Input numbers are 138, 567, 840, 638

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

Divisors of 138 :

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

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (138, 567, 840, 638) = 1.

Given numbers are 138, 567, 840, 638

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 638 are 2 x 11 x 29

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

Given numbers are 138, 567, 840, 638

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

Apply this formula for all numbers.

Step1:

LCM(138, 567) = 26082

GCD(138, 567) = ( 138 x 567 ) / 26082

= 138 / 567

= 138

Step2:

LCM(3, 840) = 840

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

= 3 / 840

= 3

Step3:

LCM(3, 638) = 1914

GCD(3, 638) = ( 3 x 638 ) / 1914

= 3 / 638

= 3

So, Greatest Common Divisor of 138, 567, 840, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 406, 799, 233
• GCD of 579, 563, 203, 322
• GCD of 653, 662, 883, 637
• GCD of 489, 397, 219, 355
• GCD of 554, 741, 873, 909

Given numbers are 138, 567, 840, 638
The greatest common divisor of numbers 138, 567, 840, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 567, 840, 638 is 1.

1. What is the GCD of 138, 567, 840, 638?

GCD of given numbers 138, 567, 840, 638 is 1

2. How to calculate the greatest common divisor of 138, 567, 840, 638?

We can find the highest common divisor of 138, 567, 840, 638 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 138, 567, 840, 638 i.e 1.

3. How can I use the GCD of 138, 567, 840, 638Calculator?

Out the numbers 138, 567, 840, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.