GCD of 852, 706, 674, 564 Calculator

Given Input numbers are 852, 706, 674, 564

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (852, 706, 674, 564) = 2.

Given numbers are 852, 706, 674, 564

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 706 are 2 x 353

Prime factors of 674 are 2 x 337

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 852, 706, 674, 564 is 2.

Given numbers are 852, 706, 674, 564

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

Apply this formula for all numbers.

Step1:

LCM(852, 706) = 300756

GCD(852, 706) = ( 852 x 706 ) / 300756

= 852 / 706

= 852

Step2:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 852, 706, 674, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 159, 296, 795
• GCD of 338, 433, 598, 290
• GCD of 592, 808, 627, 386
• GCD of 502, 906, 596, 308
• GCD of 412, 148, 379, 363

Given numbers are 852, 706, 674, 564
The greatest common divisor of numbers 852, 706, 674, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 706, 674, 564 is 2.

1. What is the GCD of 852, 706, 674, 564?

GCD of given numbers 852, 706, 674, 564 is 2

2. How to calculate the greatest common divisor of 852, 706, 674, 564?

We can find the highest common divisor of 852, 706, 674, 564 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 852, 706, 674, 564 i.e 2.

3. How can I use the GCD of 852, 706, 674, 564Calculator?

Out the numbers 852, 706, 674, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.