GCD of 820, 851, 253, 289 Calculator

Given Input numbers are 820, 851, 253, 289

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 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (820, 851, 253, 289) = 1.

Given numbers are 820, 851, 253, 289

The list of prime factors of all numbers are

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

Prime factors of 851 are 23 x 37

Prime factors of 253 are 11 x 23

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 820, 851, 253, 289

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

Apply this formula for all numbers.

Step1:

LCM(820, 851) = 697820

GCD(820, 851) = ( 820 x 851 ) / 697820

= 820 / 851

= 820

Step2:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 820, 851, 253, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 331, 266, 246
• GCD of 810, 366, 181, 735
• GCD of 202, 201, 661, 416
• GCD of 206, 320, 544, 746
• GCD of 370, 879, 457, 644

Given numbers are 820, 851, 253, 289
The greatest common divisor of numbers 820, 851, 253, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 851, 253, 289 is 1.

1. What is the GCD of 820, 851, 253, 289?

GCD of given numbers 820, 851, 253, 289 is 1

2. How to calculate the greatest common divisor of 820, 851, 253, 289?

We can find the highest common divisor of 820, 851, 253, 289 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, 851, 253, 289 i.e 1.

3. How can I use the GCD of 820, 851, 253, 289Calculator?

Out the numbers 820, 851, 253, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.