GCD of 138, 330, 421, 705 Calculator

Given Input numbers are 138, 330, 421, 705

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (138, 330, 421, 705) = 1.

Given numbers are 138, 330, 421, 705

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 421 are 421

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 138, 330, 421, 705

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

Apply this formula for all numbers.

Step1:

LCM(138, 330) = 7590

GCD(138, 330) = ( 138 x 330 ) / 7590

= 138 / 330

= 138

Step2:

LCM(6, 421) = 2526

GCD(6, 421) = ( 6 x 421 ) / 2526

= 6 / 421

= 6

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 138, 330, 421, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 226, 773, 221
• GCD of 722, 150, 503, 193
• GCD of 584, 306, 556, 468
• GCD of 582, 945, 820, 944
• GCD of 853, 651, 626, 826

Given numbers are 138, 330, 421, 705
The greatest common divisor of numbers 138, 330, 421, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 330, 421, 705 is 1.

1. What is the GCD of 138, 330, 421, 705?

GCD of given numbers 138, 330, 421, 705 is 1

2. How to calculate the greatest common divisor of 138, 330, 421, 705?

We can find the highest common divisor of 138, 330, 421, 705 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, 330, 421, 705 i.e 1.

3. How can I use the GCD of 138, 330, 421, 705Calculator?

Out the numbers 138, 330, 421, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.