GCD of 821, 528, 105, 208 Calculator

Given Input numbers are 821, 528, 105, 208

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

Divisors of 821 :

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

1, 821

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 105 :

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

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (821, 528, 105, 208) = 1.

Given numbers are 821, 528, 105, 208

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 105 are 3 x 5 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

Given numbers are 821, 528, 105, 208

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

Apply this formula for all numbers.

Step1:

LCM(821, 528) = 433488

GCD(821, 528) = ( 821 x 528 ) / 433488

= 821 / 528

= 821

Step2:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1

So, Greatest Common Divisor of 821, 528, 105, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 233, 572, 719
• GCD of 254, 742, 914, 412
• GCD of 248, 745, 568, 549
• GCD of 710, 737, 102, 506
• GCD of 742, 247, 190, 452

Given numbers are 821, 528, 105, 208
The greatest common divisor of numbers 821, 528, 105, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 528, 105, 208 is 1.

1. What is the GCD of 821, 528, 105, 208?

GCD of given numbers 821, 528, 105, 208 is 1

2. How to calculate the greatest common divisor of 821, 528, 105, 208?

We can find the highest common divisor of 821, 528, 105, 208 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 821, 528, 105, 208 i.e 1.

3. How can I use the GCD of 821, 528, 105, 208Calculator?

Out the numbers 821, 528, 105, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.