GCD of 821, 159, 688, 359 Calculator

Given Input numbers are 821, 159, 688, 359

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (821, 159, 688, 359) = 1.

Given numbers are 821, 159, 688, 359

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 159 are 3 x 53

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 359 are 359

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

Given numbers are 821, 159, 688, 359

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

Apply this formula for all numbers.

Step1:

LCM(821, 159) = 130539

GCD(821, 159) = ( 821 x 159 ) / 130539

= 821 / 159

= 821

Step2:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 821, 159, 688, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 708, 704, 477
• GCD of 357, 132, 707, 313
• GCD of 381, 486, 533, 291
• GCD of 349, 187, 832, 200
• GCD of 563, 929, 456, 644

Given numbers are 821, 159, 688, 359
The greatest common divisor of numbers 821, 159, 688, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 159, 688, 359 is 1.

1. What is the GCD of 821, 159, 688, 359?

GCD of given numbers 821, 159, 688, 359 is 1

2. How to calculate the greatest common divisor of 821, 159, 688, 359?

We can find the highest common divisor of 821, 159, 688, 359 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, 159, 688, 359 i.e 1.

3. How can I use the GCD of 821, 159, 688, 359Calculator?

Out the numbers 821, 159, 688, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.