GCD of 849, 708, 431, 564 Calculator

Given Input numbers are 849, 708, 431, 564

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

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 (849, 708, 431, 564) = 1.

Given numbers are 849, 708, 431, 564

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 431 are 431

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

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

Given numbers are 849, 708, 431, 564

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

Apply this formula for all numbers.

Step1:

LCM(849, 708) = 200364

GCD(849, 708) = ( 849 x 708 ) / 200364

= 849 / 708

= 849

Step2:

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

= 3 / 431

= 3

Step3:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

So, Greatest Common Divisor of 849, 708, 431, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 907, 105, 724
• GCD of 670, 987, 565, 436
• GCD of 295, 550, 795, 425
• GCD of 105, 290, 888, 320
• GCD of 209, 758, 926, 963

Given numbers are 849, 708, 431, 564
The greatest common divisor of numbers 849, 708, 431, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 708, 431, 564 is 1.

1. What is the GCD of 849, 708, 431, 564?

GCD of given numbers 849, 708, 431, 564 is 1

2. How to calculate the greatest common divisor of 849, 708, 431, 564?

We can find the highest common divisor of 849, 708, 431, 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 849, 708, 431, 564 i.e 1.

3. How can I use the GCD of 849, 708, 431, 564Calculator?

Out the numbers 849, 708, 431, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.