GCD of 736, 474, 324, 784 Calculator

Given Input numbers are 736, 474, 324, 784

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (736, 474, 324, 784) = 2.

Given numbers are 736, 474, 324, 784

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 474 are 2 x 3 x 79

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 736, 474, 324, 784 is 2.

Given numbers are 736, 474, 324, 784

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

Apply this formula for all numbers.

Step1:

LCM(736, 474) = 174432

GCD(736, 474) = ( 736 x 474 ) / 174432

= 736 / 474

= 736

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

So, Greatest Common Divisor of 736, 474, 324, 784 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 645, 449, 388
• GCD of 342, 705, 641, 429
• GCD of 210, 385, 880, 127
• GCD of 313, 521, 776, 972
• GCD of 716, 392, 484, 255

Given numbers are 736, 474, 324, 784
The greatest common divisor of numbers 736, 474, 324, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 474, 324, 784 is 2.

1. What is the GCD of 736, 474, 324, 784?

GCD of given numbers 736, 474, 324, 784 is 2

2. How to calculate the greatest common divisor of 736, 474, 324, 784?

We can find the highest common divisor of 736, 474, 324, 784 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, 474, 324, 784 i.e 2.

3. How can I use the GCD of 736, 474, 324, 784Calculator?

Out the numbers 736, 474, 324, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.