GCD of 820, 655, 785, 195 Calculator

Given Input numbers are 820, 655, 785, 195

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 195 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (820, 655, 785, 195) = 5.

Given numbers are 820, 655, 785, 195

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 655 are 5 x 131

Prime factors of 785 are 5 x 157

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 820, 655, 785, 195 is 5.

Given numbers are 820, 655, 785, 195

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

Apply this formula for all numbers.

Step1:

LCM(820, 655) = 107420

GCD(820, 655) = ( 820 x 655 ) / 107420

= 820 / 655

= 820

Step2:

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

= 5 / 785

= 5

Step3:

LCM(5, 195) = 195

GCD(5, 195) = ( 5 x 195 ) / 195

= 5 / 195

= 5

So, Greatest Common Divisor of 820, 655, 785, 195 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 171, 567, 320
• GCD of 939, 820, 391, 774
• GCD of 462, 299, 377, 825
• GCD of 645, 166, 254, 799
• GCD of 562, 750, 581, 635

Given numbers are 820, 655, 785, 195
The greatest common divisor of numbers 820, 655, 785, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 655, 785, 195 is 5.

1. What is the GCD of 820, 655, 785, 195?

GCD of given numbers 820, 655, 785, 195 is 5

2. How to calculate the greatest common divisor of 820, 655, 785, 195?

We can find the highest common divisor of 820, 655, 785, 195 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 820, 655, 785, 195 i.e 5.

3. How can I use the GCD of 820, 655, 785, 195Calculator?

Out the numbers 820, 655, 785, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.