GCD of 105, 154, 405, 420 Calculator

Given Input numbers are 105, 154, 405, 420

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (105, 154, 405, 420) = 1.

Given numbers are 105, 154, 405, 420

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 154 are 2 x 7 x 11

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 105, 154, 405, 420

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

Apply this formula for all numbers.

Step1:

LCM(105, 154) = 2310

GCD(105, 154) = ( 105 x 154 ) / 2310

= 105 / 154

= 105

Step2:

LCM(7, 405) = 2835

GCD(7, 405) = ( 7 x 405 ) / 2835

= 7 / 405

= 7

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 105, 154, 405, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 529, 931, 152
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• GCD of 589, 668, 949, 515

Given numbers are 105, 154, 405, 420
The greatest common divisor of numbers 105, 154, 405, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 154, 405, 420 is 1.

1. What is the GCD of 105, 154, 405, 420?

GCD of given numbers 105, 154, 405, 420 is 1

2. How to calculate the greatest common divisor of 105, 154, 405, 420?

We can find the highest common divisor of 105, 154, 405, 420 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 105, 154, 405, 420 i.e 1.

3. How can I use the GCD of 105, 154, 405, 420Calculator?

Out the numbers 105, 154, 405, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.