GCD of 536, 309, 676, 872 Calculator

Given Input numbers are 536, 309, 676, 872

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 872 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (536, 309, 676, 872) = 1.

Given numbers are 536, 309, 676, 872

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 309 are 3 x 103

Prime factors of 676 are 2 x 2 x 13 x 13

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

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

Given numbers are 536, 309, 676, 872

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

Apply this formula for all numbers.

Step1:

LCM(536, 309) = 165624

GCD(536, 309) = ( 536 x 309 ) / 165624

= 536 / 309

= 536

Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 536, 309, 676, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 818, 188, 936
• GCD of 906, 119, 659, 480
• GCD of 313, 942, 952, 932
• GCD of 619, 148, 849, 521
• GCD of 264, 354, 811, 208

Given numbers are 536, 309, 676, 872
The greatest common divisor of numbers 536, 309, 676, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 309, 676, 872 is 1.

1. What is the GCD of 536, 309, 676, 872?

GCD of given numbers 536, 309, 676, 872 is 1

2. How to calculate the greatest common divisor of 536, 309, 676, 872?

We can find the highest common divisor of 536, 309, 676, 872 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 536, 309, 676, 872 i.e 1.

3. How can I use the GCD of 536, 309, 676, 872Calculator?

Out the numbers 536, 309, 676, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.