GCD of 378, 909, 58, 961 Calculator

Given Input numbers are 378, 909, 58, 961

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 961 :

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

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (378, 909, 58, 961) = 1.

Given numbers are 378, 909, 58, 961

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 909 are 3 x 3 x 101

Prime factors of 58 are 2 x 29

Prime factors of 961 are 31 x 31

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

Given numbers are 378, 909, 58, 961

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

Apply this formula for all numbers.

Step1:

LCM(378, 909) = 38178

GCD(378, 909) = ( 378 x 909 ) / 38178

= 378 / 909

= 378

Step2:

LCM(9, 58) = 522

GCD(9, 58) = ( 9 x 58 ) / 522

= 9 / 58

= 9

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 378, 909, 58, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 650, 56, 476
• GCD of 301, 582, 94, 862
• GCD of 184, 713, 78, 303
• GCD of 915, 544, 19, 413
• GCD of 540, 789, 96, 586

Given numbers are 378, 909, 58, 961
The greatest common divisor of numbers 378, 909, 58, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 909, 58, 961 is 1.

1. What is the GCD of 378, 909, 58, 961?

GCD of given numbers 378, 909, 58, 961 is 1

2. How to calculate the greatest common divisor of 378, 909, 58, 961?

We can find the highest common divisor of 378, 909, 58, 961 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 378, 909, 58, 961 i.e 1.

3. How can I use the GCD of 378, 909, 58, 961Calculator?

Out the numbers 378, 909, 58, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.