GCD of 456, 359, 472, 138 Calculator

Given Input numbers are 456, 359, 472, 138

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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 (456, 359, 472, 138) = 1.

Given numbers are 456, 359, 472, 138

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 359 are 359

Prime factors of 472 are 2 x 2 x 2 x 59

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 456, 359, 472, 138

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

Apply this formula for all numbers.

Step1:

LCM(456, 359) = 163704

GCD(456, 359) = ( 456 x 359 ) / 163704

= 456 / 359

= 456

Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

Step3:

LCM(1, 138) = 138

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

= 1 / 138

= 1

So, Greatest Common Divisor of 456, 359, 472, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 902, 427, 589
• GCD of 103, 214, 533, 576
• GCD of 409, 936, 806, 856
• GCD of 121, 912, 402, 183
• GCD of 974, 513, 663, 149

Given numbers are 456, 359, 472, 138
The greatest common divisor of numbers 456, 359, 472, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 359, 472, 138 is 1.

1. What is the GCD of 456, 359, 472, 138?

GCD of given numbers 456, 359, 472, 138 is 1

2. How to calculate the greatest common divisor of 456, 359, 472, 138?

We can find the highest common divisor of 456, 359, 472, 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 456, 359, 472, 138 i.e 1.

3. How can I use the GCD of 456, 359, 472, 138Calculator?

Out the numbers 456, 359, 472, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.