GCD of 820, 775, 785, 420 Calculator

Given Input numbers are 820, 775, 785, 420

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 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 785 :

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

1, 5, 157, 785

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (820, 775, 785, 420) = 5.

Given numbers are 820, 775, 785, 420

The list of prime factors of all numbers are

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

Prime factors of 775 are 5 x 5 x 31

Prime factors of 785 are 5 x 157

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 820, 775, 785, 420 is 5.

Given numbers are 820, 775, 785, 420

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

Apply this formula for all numbers.

Step1:

LCM(820, 775) = 127100

GCD(820, 775) = ( 820 x 775 ) / 127100

= 820 / 775

= 820

Step2:

LCM(5, 785) = 785

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

= 5 / 785

= 5

Step3:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 820, 775, 785, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 749, 555, 302
• GCD of 939, 646, 804, 954
• GCD of 311, 142, 968, 130
• GCD of 564, 219, 204, 189
• GCD of 843, 157, 760, 339

Given numbers are 820, 775, 785, 420
The greatest common divisor of numbers 820, 775, 785, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 775, 785, 420 is 5.

1. What is the GCD of 820, 775, 785, 420?

GCD of given numbers 820, 775, 785, 420 is 5

2. How to calculate the greatest common divisor of 820, 775, 785, 420?

We can find the highest common divisor of 820, 775, 785, 420 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, 775, 785, 420 i.e 5.

3. How can I use the GCD of 820, 775, 785, 420Calculator?

Out the numbers 820, 775, 785, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.