GCD of 800, 564, 309, 712 Calculator

Given Input numbers are 800, 564, 309, 712

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (800, 564, 309, 712) = 1.

Given numbers are 800, 564, 309, 712

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 309 are 3 x 103

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 800, 564, 309, 712

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

Apply this formula for all numbers.

Step1:

LCM(800, 564) = 112800

GCD(800, 564) = ( 800 x 564 ) / 112800

= 800 / 564

= 800

Step2:

LCM(4, 309) = 1236

GCD(4, 309) = ( 4 x 309 ) / 1236

= 4 / 309

= 4

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 800, 564, 309, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 706, 731, 519
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• GCD of 326, 105, 748, 529
• GCD of 291, 415, 760, 210
• GCD of 597, 174, 878, 597

Given numbers are 800, 564, 309, 712
The greatest common divisor of numbers 800, 564, 309, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 564, 309, 712 is 1.

1. What is the GCD of 800, 564, 309, 712?

GCD of given numbers 800, 564, 309, 712 is 1

2. How to calculate the greatest common divisor of 800, 564, 309, 712?

We can find the highest common divisor of 800, 564, 309, 712 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 800, 564, 309, 712 i.e 1.

3. How can I use the GCD of 800, 564, 309, 712Calculator?

Out the numbers 800, 564, 309, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.