GCD of 162, 676, 784, 920 Calculator

Given Input numbers are 162, 676, 784, 920

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 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

GCD of numbers is the greatest common divisor

So, the GCD (162, 676, 784, 920) = 2.

Given numbers are 162, 676, 784, 920

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 676 are 2 x 2 x 13 x 13

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

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

The highest common occurrence is 2¹

Therefore, GCD of 162, 676, 784, 920 is 2.

Given numbers are 162, 676, 784, 920

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

Apply this formula for all numbers.

Step1:

LCM(162, 676) = 54756

GCD(162, 676) = ( 162 x 676 ) / 54756

= 162 / 676

= 162

Step2:

LCM(2, 784) = 784

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

= 2 / 784

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 162, 676, 784, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 307, 728, 782
• GCD of 711, 864, 897, 519
• GCD of 948, 144, 788, 684
• GCD of 823, 380, 664, 750
• GCD of 719, 698, 268, 883

Given numbers are 162, 676, 784, 920
The greatest common divisor of numbers 162, 676, 784, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 676, 784, 920 is 2.

1. What is the GCD of 162, 676, 784, 920?

GCD of given numbers 162, 676, 784, 920 is 2

2. How to calculate the greatest common divisor of 162, 676, 784, 920?

We can find the highest common divisor of 162, 676, 784, 920 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 162, 676, 784, 920 i.e 2.

3. How can I use the GCD of 162, 676, 784, 920Calculator?

Out the numbers 162, 676, 784, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.