GCD of 820, 590, 810, 425 Calculator

Given Input numbers are 820, 590, 810, 425

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 810 :

The positive integer divisors of 810 that completely divides 810 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

GCD of numbers is the greatest common divisor

So, the GCD (820, 590, 810, 425) = 5.

Given numbers are 820, 590, 810, 425

The list of prime factors of all numbers are

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

Prime factors of 590 are 2 x 5 x 59

Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5

Prime factors of 425 are 5 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 820, 590, 810, 425 is 5.

Given numbers are 820, 590, 810, 425

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

Apply this formula for all numbers.

Step1:

LCM(820, 590) = 48380

GCD(820, 590) = ( 820 x 590 ) / 48380

= 820 / 590

= 820

Step2:

LCM(10, 810) = 810

GCD(10, 810) = ( 10 x 810 ) / 810

= 10 / 810

= 10

Step3:

LCM(10, 425) = 850

GCD(10, 425) = ( 10 x 425 ) / 850

= 10 / 425

= 10

So, Greatest Common Divisor of 820, 590, 810, 425 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 446, 593, 830
• GCD of 449, 798, 155, 724
• GCD of 981, 895, 655, 334
• GCD of 386, 380, 690, 370
• GCD of 873, 474, 654, 719

Given numbers are 820, 590, 810, 425
The greatest common divisor of numbers 820, 590, 810, 425 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 590, 810, 425 is 5.

1. What is the GCD of 820, 590, 810, 425?

GCD of given numbers 820, 590, 810, 425 is 5

2. How to calculate the greatest common divisor of 820, 590, 810, 425?

We can find the highest common divisor of 820, 590, 810, 425 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, 590, 810, 425 i.e 5.

3. How can I use the GCD of 820, 590, 810, 425Calculator?

Out the numbers 820, 590, 810, 425 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.