GCD of 960, 198, 742, 422 Calculator

Given Input numbers are 960, 198, 742, 422

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 422 :

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

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (960, 198, 742, 422) = 2.

Given numbers are 960, 198, 742, 422

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 960, 198, 742, 422 is 2.

Given numbers are 960, 198, 742, 422

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

Apply this formula for all numbers.

Step1:

LCM(960, 198) = 31680

GCD(960, 198) = ( 960 x 198 ) / 31680

= 960 / 198

= 960

Step2:

LCM(6, 742) = 2226

GCD(6, 742) = ( 6 x 742 ) / 2226

= 6 / 742

= 6

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 960, 198, 742, 422 is 2

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• GCD of 158, 537, 723, 804
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Given numbers are 960, 198, 742, 422
The greatest common divisor of numbers 960, 198, 742, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 198, 742, 422 is 2.

1. What is the GCD of 960, 198, 742, 422?

GCD of given numbers 960, 198, 742, 422 is 2

2. How to calculate the greatest common divisor of 960, 198, 742, 422?

We can find the highest common divisor of 960, 198, 742, 422 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 960, 198, 742, 422 i.e 2.

3. How can I use the GCD of 960, 198, 742, 422Calculator?

Out the numbers 960, 198, 742, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.