GCD of 463, 452, 900, 138 Calculator

Given Input numbers are 463, 452, 900, 138

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

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (463, 452, 900, 138) = 1.

Given numbers are 463, 452, 900, 138

The list of prime factors of all numbers are

Prime factors of 463 are 463

Prime factors of 452 are 2 x 2 x 113

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 463, 452, 900, 138

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

Apply this formula for all numbers.

Step1:

LCM(463, 452) = 209276

GCD(463, 452) = ( 463 x 452 ) / 209276

= 463 / 452

= 463

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 463, 452, 900, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 800, 367, 327
• GCD of 208, 439, 836, 947
• GCD of 624, 780, 243, 941
• GCD of 848, 388, 808, 631
• GCD of 763, 314, 631, 138

Given numbers are 463, 452, 900, 138
The greatest common divisor of numbers 463, 452, 900, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 463, 452, 900, 138 is 1.

1. What is the GCD of 463, 452, 900, 138?

GCD of given numbers 463, 452, 900, 138 is 1

2. How to calculate the greatest common divisor of 463, 452, 900, 138?

We can find the highest common divisor of 463, 452, 900, 138 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 463, 452, 900, 138 i.e 1.

3. How can I use the GCD of 463, 452, 900, 138Calculator?

Out the numbers 463, 452, 900, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.