GCD of 856, 338, 584, 532 Calculator

Given Input numbers are 856, 338, 584, 532

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (856, 338, 584, 532) = 2.

Given numbers are 856, 338, 584, 532

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 338 are 2 x 13 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 856, 338, 584, 532 is 2.

Given numbers are 856, 338, 584, 532

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

Apply this formula for all numbers.

Step1:

LCM(856, 338) = 144664

GCD(856, 338) = ( 856 x 338 ) / 144664

= 856 / 338

= 856

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 856, 338, 584, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 127, 488, 107
• GCD of 856, 635, 731, 465
• GCD of 801, 843, 390, 831
• GCD of 775, 269, 618, 691
• GCD of 297, 267, 559, 396

Given numbers are 856, 338, 584, 532
The greatest common divisor of numbers 856, 338, 584, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 338, 584, 532 is 2.

1. What is the GCD of 856, 338, 584, 532?

GCD of given numbers 856, 338, 584, 532 is 2

2. How to calculate the greatest common divisor of 856, 338, 584, 532?

We can find the highest common divisor of 856, 338, 584, 532 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 856, 338, 584, 532 i.e 2.

3. How can I use the GCD of 856, 338, 584, 532Calculator?

Out the numbers 856, 338, 584, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.