GCD of 736, 154, 230, 864 Calculator

Given Input numbers are 736, 154, 230, 864

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (736, 154, 230, 864) = 2.

Given numbers are 736, 154, 230, 864

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 154 are 2 x 7 x 11

Prime factors of 230 are 2 x 5 x 23

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 736, 154, 230, 864 is 2.

Given numbers are 736, 154, 230, 864

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

Apply this formula for all numbers.

Step1:

LCM(736, 154) = 56672

GCD(736, 154) = ( 736 x 154 ) / 56672

= 736 / 154

= 736

Step2:

LCM(2, 230) = 230

GCD(2, 230) = ( 2 x 230 ) / 230

= 2 / 230

= 2

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 736, 154, 230, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 260, 387, 452
• GCD of 920, 222, 568, 467
• GCD of 180, 450, 128, 436
• GCD of 761, 143, 483, 552
• GCD of 363, 503, 646, 408

Given numbers are 736, 154, 230, 864
The greatest common divisor of numbers 736, 154, 230, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 154, 230, 864 is 2.

1. What is the GCD of 736, 154, 230, 864?

GCD of given numbers 736, 154, 230, 864 is 2

2. How to calculate the greatest common divisor of 736, 154, 230, 864?

We can find the highest common divisor of 736, 154, 230, 864 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 736, 154, 230, 864 i.e 2.

3. How can I use the GCD of 736, 154, 230, 864Calculator?

Out the numbers 736, 154, 230, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.