GCD of 136, 432, 112, 705 Calculator

Given Input numbers are 136, 432, 112, 705

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

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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 (136, 432, 112, 705) = 1.

Given numbers are 136, 432, 112, 705

The list of prime factors of all numbers are

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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 136, 432, 112, 705

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

Apply this formula for all numbers.

Step1:

LCM(136, 432) = 7344

GCD(136, 432) = ( 136 x 432 ) / 7344

= 136 / 432

= 136

Step2:

LCM(8, 112) = 112

GCD(8, 112) = ( 8 x 112 ) / 112

= 8 / 112

= 8

Step3:

LCM(8, 705) = 5640

GCD(8, 705) = ( 8 x 705 ) / 5640

= 8 / 705

= 8

So, Greatest Common Divisor of 136, 432, 112, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 828, 656, 936
• GCD of 628, 865, 755, 270
• GCD of 474, 542, 298, 947
• GCD of 187, 341, 246, 660
• GCD of 362, 687, 747, 501

Given numbers are 136, 432, 112, 705
The greatest common divisor of numbers 136, 432, 112, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 432, 112, 705 is 1.

1. What is the GCD of 136, 432, 112, 705?

GCD of given numbers 136, 432, 112, 705 is 1

2. How to calculate the greatest common divisor of 136, 432, 112, 705?

We can find the highest common divisor of 136, 432, 112, 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 136, 432, 112, 705 i.e 1.

3. How can I use the GCD of 136, 432, 112, 705Calculator?

Out the numbers 136, 432, 112, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.