GCD of 420, 355, 961, 238 Calculator

Given Input numbers are 420, 355, 961, 238

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (420, 355, 961, 238) = 1.

Given numbers are 420, 355, 961, 238

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 355 are 5 x 71

Prime factors of 961 are 31 x 31

Prime factors of 238 are 2 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 420, 355, 961, 238

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

Apply this formula for all numbers.

Step1:

LCM(420, 355) = 29820

GCD(420, 355) = ( 420 x 355 ) / 29820

= 420 / 355

= 420

Step2:

LCM(5, 961) = 4805

GCD(5, 961) = ( 5 x 961 ) / 4805

= 5 / 961

= 5

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 420, 355, 961, 238 is 1

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Given numbers are 420, 355, 961, 238
The greatest common divisor of numbers 420, 355, 961, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 355, 961, 238 is 1.

1. What is the GCD of 420, 355, 961, 238?

GCD of given numbers 420, 355, 961, 238 is 1

2. How to calculate the greatest common divisor of 420, 355, 961, 238?

We can find the highest common divisor of 420, 355, 961, 238 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 420, 355, 961, 238 i.e 1.

3. How can I use the GCD of 420, 355, 961, 238Calculator?

Out the numbers 420, 355, 961, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.