GCD of 422, 756, 746, 178 Calculator

Given Input numbers are 422, 756, 746, 178

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

GCD of numbers is the greatest common divisor

So, the GCD (422, 756, 746, 178) = 2.

Given numbers are 422, 756, 746, 178

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 746 are 2 x 373

Prime factors of 178 are 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 422, 756, 746, 178 is 2.

Given numbers are 422, 756, 746, 178

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

Apply this formula for all numbers.

Step1:

LCM(422, 756) = 159516

GCD(422, 756) = ( 422 x 756 ) / 159516

= 422 / 756

= 422

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

So, Greatest Common Divisor of 422, 756, 746, 178 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 899, 611, 811
• GCD of 646, 284, 439, 174
• GCD of 129, 676, 831, 148
• GCD of 444, 798, 870, 570
• GCD of 191, 152, 883, 862

Given numbers are 422, 756, 746, 178
The greatest common divisor of numbers 422, 756, 746, 178 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 756, 746, 178 is 2.

1. What is the GCD of 422, 756, 746, 178?

GCD of given numbers 422, 756, 746, 178 is 2

2. How to calculate the greatest common divisor of 422, 756, 746, 178?

We can find the highest common divisor of 422, 756, 746, 178 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 422, 756, 746, 178 i.e 2.

3. How can I use the GCD of 422, 756, 746, 178Calculator?

Out the numbers 422, 756, 746, 178 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.