GCD of 105, 475, 446, 362 Calculator

Given Input numbers are 105, 475, 446, 362

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (105, 475, 446, 362) = 1.

Given numbers are 105, 475, 446, 362

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 475 are 5 x 5 x 19

Prime factors of 446 are 2 x 223

Prime factors of 362 are 2 x 181

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

Given numbers are 105, 475, 446, 362

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

Apply this formula for all numbers.

Step1:

LCM(105, 475) = 9975

GCD(105, 475) = ( 105 x 475 ) / 9975

= 105 / 475

= 105

Step2:

LCM(5, 446) = 2230

GCD(5, 446) = ( 5 x 446 ) / 2230

= 5 / 446

= 5

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 105, 475, 446, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 560, 576, 345
• GCD of 560, 940, 118, 750
• GCD of 504, 624, 235, 817
• GCD of 688, 367, 276, 133
• GCD of 440, 469, 308, 972

Given numbers are 105, 475, 446, 362
The greatest common divisor of numbers 105, 475, 446, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 475, 446, 362 is 1.

1. What is the GCD of 105, 475, 446, 362?

GCD of given numbers 105, 475, 446, 362 is 1

2. How to calculate the greatest common divisor of 105, 475, 446, 362?

We can find the highest common divisor of 105, 475, 446, 362 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 105, 475, 446, 362 i.e 1.

3. How can I use the GCD of 105, 475, 446, 362Calculator?

Out the numbers 105, 475, 446, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.