GCD of 195, 715, 364, 442 Calculator

Given Input numbers are 195, 715, 364, 442

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (195, 715, 364, 442) = 13.

Given numbers are 195, 715, 364, 442

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 715 are 5 x 11 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 13¹

Therefore, GCD of 195, 715, 364, 442 is 13.

Given numbers are 195, 715, 364, 442

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

Apply this formula for all numbers.

Step1:

LCM(195, 715) = 2145

GCD(195, 715) = ( 195 x 715 ) / 2145

= 195 / 715

= 195

Step2:

LCM(65, 364) = 1820

GCD(65, 364) = ( 65 x 364 ) / 1820

= 65 / 364

= 65

Step3:

LCM(13, 442) = 442

GCD(13, 442) = ( 13 x 442 ) / 442

= 13 / 442

= 13

So, Greatest Common Divisor of 195, 715, 364, 442 is 13

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• GCD of 995, 700, 346, 608
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Given numbers are 195, 715, 364, 442
The greatest common divisor of numbers 195, 715, 364, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 715, 364, 442 is 13.

1. What is the GCD of 195, 715, 364, 442?

GCD of given numbers 195, 715, 364, 442 is 13

2. How to calculate the greatest common divisor of 195, 715, 364, 442?

We can find the highest common divisor of 195, 715, 364, 442 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 195, 715, 364, 442 i.e 13.

3. How can I use the GCD of 195, 715, 364, 442Calculator?

Out the numbers 195, 715, 364, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.