GCD of 784, 704, 450, 156 Calculator

Given Input numbers are 784, 704, 450, 156

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (784, 704, 450, 156) = 2.

Given numbers are 784, 704, 450, 156

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 784, 704, 450, 156 is 2.

Given numbers are 784, 704, 450, 156

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

Apply this formula for all numbers.

Step1:

LCM(784, 704) = 34496

GCD(784, 704) = ( 784 x 704 ) / 34496

= 784 / 704

= 784

Step2:

LCM(16, 450) = 3600

GCD(16, 450) = ( 16 x 450 ) / 3600

= 16 / 450

= 16

Step3:

LCM(2, 156) = 156

GCD(2, 156) = ( 2 x 156 ) / 156

= 2 / 156

= 2

So, Greatest Common Divisor of 784, 704, 450, 156 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 322, 258, 607
• GCD of 567, 553, 889, 593
• GCD of 694, 328, 292, 505
• GCD of 728, 592, 194, 683
• GCD of 398, 330, 686, 325

Given numbers are 784, 704, 450, 156
The greatest common divisor of numbers 784, 704, 450, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 704, 450, 156 is 2.

1. What is the GCD of 784, 704, 450, 156?

GCD of given numbers 784, 704, 450, 156 is 2

2. How to calculate the greatest common divisor of 784, 704, 450, 156?

We can find the highest common divisor of 784, 704, 450, 156 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 784, 704, 450, 156 i.e 2.

3. How can I use the GCD of 784, 704, 450, 156Calculator?

Out the numbers 784, 704, 450, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.