GCD of 105, 872, 764, 821 Calculator

Given Input numbers are 105, 872, 764, 821

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (105, 872, 764, 821) = 1.

Given numbers are 105, 872, 764, 821

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 764 are 2 x 2 x 191

Prime factors of 821 are 821

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

Given numbers are 105, 872, 764, 821

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

Apply this formula for all numbers.

Step1:

LCM(105, 872) = 91560

GCD(105, 872) = ( 105 x 872 ) / 91560

= 105 / 872

= 105

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

So, Greatest Common Divisor of 105, 872, 764, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 960, 343, 175
• GCD of 264, 923, 662, 276
• GCD of 724, 469, 700, 845
• GCD of 933, 813, 401, 796
• GCD of 893, 442, 917, 576

Given numbers are 105, 872, 764, 821
The greatest common divisor of numbers 105, 872, 764, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 872, 764, 821 is 1.

1. What is the GCD of 105, 872, 764, 821?

GCD of given numbers 105, 872, 764, 821 is 1

2. How to calculate the greatest common divisor of 105, 872, 764, 821?

We can find the highest common divisor of 105, 872, 764, 821 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 105, 872, 764, 821 i.e 1.

3. How can I use the GCD of 105, 872, 764, 821Calculator?

Out the numbers 105, 872, 764, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.