GCD of 468, 150, 105, 742 Calculator

Given Input numbers are 468, 150, 105, 742

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 105 :

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

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (468, 150, 105, 742) = 1.

Given numbers are 468, 150, 105, 742

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 105 are 3 x 5 x 7

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 468, 150, 105, 742

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

Apply this formula for all numbers.

Step1:

LCM(468, 150) = 11700

GCD(468, 150) = ( 468 x 150 ) / 11700

= 468 / 150

= 468

Step2:

LCM(6, 105) = 210

GCD(6, 105) = ( 6 x 105 ) / 210

= 6 / 105

= 6

Step3:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

So, Greatest Common Divisor of 468, 150, 105, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 985, 424, 165
• GCD of 294, 501, 338, 197
• GCD of 374, 906, 790, 407
• GCD of 359, 835, 425, 358
• GCD of 208, 220, 164, 935

Given numbers are 468, 150, 105, 742
The greatest common divisor of numbers 468, 150, 105, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 150, 105, 742 is 1.

1. What is the GCD of 468, 150, 105, 742?

GCD of given numbers 468, 150, 105, 742 is 1

2. How to calculate the greatest common divisor of 468, 150, 105, 742?

We can find the highest common divisor of 468, 150, 105, 742 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 468, 150, 105, 742 i.e 1.

3. How can I use the GCD of 468, 150, 105, 742Calculator?

Out the numbers 468, 150, 105, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.