GCD of 854, 961, 180, 397 Calculator

Given Input numbers are 854, 961, 180, 397

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 961 :

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

1, 31, 961

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 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

GCD of numbers is the greatest common divisor

So, the GCD (854, 961, 180, 397) = 1.

Given numbers are 854, 961, 180, 397

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 961 are 31 x 31

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 397 are 397

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

Given numbers are 854, 961, 180, 397

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

Apply this formula for all numbers.

Step1:

LCM(854, 961) = 820694

GCD(854, 961) = ( 854 x 961 ) / 820694

= 854 / 961

= 854

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

= 1 / 397

= 1

So, Greatest Common Divisor of 854, 961, 180, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 405, 910, 364
• GCD of 492, 842, 730, 549
• GCD of 700, 999, 424, 997
• GCD of 715, 350, 465, 988
• GCD of 586, 485, 585, 133

Given numbers are 854, 961, 180, 397
The greatest common divisor of numbers 854, 961, 180, 397 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 961, 180, 397 is 1.

1. What is the GCD of 854, 961, 180, 397?

GCD of given numbers 854, 961, 180, 397 is 1

2. How to calculate the greatest common divisor of 854, 961, 180, 397?

We can find the highest common divisor of 854, 961, 180, 397 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 854, 961, 180, 397 i.e 1.

3. How can I use the GCD of 854, 961, 180, 397Calculator?

Out the numbers 854, 961, 180, 397 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.