GCD of 784, 180, 426, 942 Calculator

Given Input numbers are 784, 180, 426, 942

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (784, 180, 426, 942) = 2.

Given numbers are 784, 180, 426, 942

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 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 426 are 2 x 3 x 71

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 784, 180, 426, 942 is 2.

Given numbers are 784, 180, 426, 942

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

Apply this formula for all numbers.

Step1:

LCM(784, 180) = 35280

GCD(784, 180) = ( 784 x 180 ) / 35280

= 784 / 180

= 784

Step2:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 784, 180, 426, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 936, 221, 469
• GCD of 270, 306, 341, 479
• GCD of 844, 594, 644, 177
• GCD of 500, 973, 348, 649
• GCD of 493, 641, 296, 701

Given numbers are 784, 180, 426, 942
The greatest common divisor of numbers 784, 180, 426, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 180, 426, 942 is 2.

1. What is the GCD of 784, 180, 426, 942?

GCD of given numbers 784, 180, 426, 942 is 2

2. How to calculate the greatest common divisor of 784, 180, 426, 942?

We can find the highest common divisor of 784, 180, 426, 942 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, 180, 426, 942 i.e 2.

3. How can I use the GCD of 784, 180, 426, 942Calculator?

Out the numbers 784, 180, 426, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.