GCD of 195, 595, 510, 490 Calculator

Given Input numbers are 195, 595, 510, 490

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 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (195, 595, 510, 490) = 5.

Given numbers are 195, 595, 510, 490

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 595 are 5 x 7 x 17

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 5¹

Therefore, GCD of 195, 595, 510, 490 is 5.

Given numbers are 195, 595, 510, 490

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

Apply this formula for all numbers.

Step1:

LCM(195, 595) = 23205

GCD(195, 595) = ( 195 x 595 ) / 23205

= 195 / 595

= 195

Step2:

LCM(5, 510) = 510

GCD(5, 510) = ( 5 x 510 ) / 510

= 5 / 510

= 5

Step3:

LCM(5, 490) = 490

GCD(5, 490) = ( 5 x 490 ) / 490

= 5 / 490

= 5

So, Greatest Common Divisor of 195, 595, 510, 490 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 235, 282, 567
• GCD of 111, 578, 581, 684
• GCD of 142, 695, 358, 723
• GCD of 578, 699, 723, 463
• GCD of 664, 250, 688, 126

Given numbers are 195, 595, 510, 490
The greatest common divisor of numbers 195, 595, 510, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 595, 510, 490 is 5.

1. What is the GCD of 195, 595, 510, 490?

GCD of given numbers 195, 595, 510, 490 is 5

2. How to calculate the greatest common divisor of 195, 595, 510, 490?

We can find the highest common divisor of 195, 595, 510, 490 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, 595, 510, 490 i.e 5.

3. How can I use the GCD of 195, 595, 510, 490Calculator?

Out the numbers 195, 595, 510, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.