GCD of 820, 705, 826, 644 Calculator

Given Input numbers are 820, 705, 826, 644

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (820, 705, 826, 644) = 1.

Given numbers are 820, 705, 826, 644

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 826 are 2 x 7 x 59

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 820, 705, 826, 644

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

Apply this formula for all numbers.

Step1:

LCM(820, 705) = 115620

GCD(820, 705) = ( 820 x 705 ) / 115620

= 820 / 705

= 820

Step2:

LCM(5, 826) = 4130

GCD(5, 826) = ( 5 x 826 ) / 4130

= 5 / 826

= 5

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 820, 705, 826, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 900, 258, 752
• GCD of 768, 335, 616, 437
• GCD of 619, 277, 184, 527
• GCD of 767, 464, 580, 835
• GCD of 721, 127, 280, 384

Given numbers are 820, 705, 826, 644
The greatest common divisor of numbers 820, 705, 826, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 705, 826, 644 is 1.

1. What is the GCD of 820, 705, 826, 644?

GCD of given numbers 820, 705, 826, 644 is 1

2. How to calculate the greatest common divisor of 820, 705, 826, 644?

We can find the highest common divisor of 820, 705, 826, 644 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, 705, 826, 644 i.e 1.

3. How can I use the GCD of 820, 705, 826, 644Calculator?

Out the numbers 820, 705, 826, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.