GCD of 136, 920, 216, 734 Calculator

Given Input numbers are 136, 920, 216, 734

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (136, 920, 216, 734) = 2.

Given numbers are 136, 920, 216, 734

The list of prime factors of all numbers are

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 136, 920, 216, 734 is 2.

Given numbers are 136, 920, 216, 734

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

Apply this formula for all numbers.

Step1:

LCM(136, 920) = 15640

GCD(136, 920) = ( 136 x 920 ) / 15640

= 136 / 920

= 136

Step2:

LCM(8, 216) = 216

GCD(8, 216) = ( 8 x 216 ) / 216

= 8 / 216

= 8

Step3:

LCM(8, 734) = 2936

GCD(8, 734) = ( 8 x 734 ) / 2936

= 8 / 734

= 8

So, Greatest Common Divisor of 136, 920, 216, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 111, 281, 300
• GCD of 138, 584, 572, 927
• GCD of 672, 151, 331, 612
• GCD of 825, 162, 139, 154
• GCD of 651, 416, 462, 182

Given numbers are 136, 920, 216, 734
The greatest common divisor of numbers 136, 920, 216, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 920, 216, 734 is 2.

1. What is the GCD of 136, 920, 216, 734?

GCD of given numbers 136, 920, 216, 734 is 2

2. How to calculate the greatest common divisor of 136, 920, 216, 734?

We can find the highest common divisor of 136, 920, 216, 734 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, 920, 216, 734 i.e 2.

3. How can I use the GCD of 136, 920, 216, 734Calculator?

Out the numbers 136, 920, 216, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.