GCD of 800, 534, 702, 644 Calculator

Given Input numbers are 800, 534, 702, 644

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 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (800, 534, 702, 644) = 2.

Given numbers are 800, 534, 702, 644

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 534 are 2 x 3 x 89

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 800, 534, 702, 644 is 2.

Given numbers are 800, 534, 702, 644

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

Apply this formula for all numbers.

Step1:

LCM(800, 534) = 213600

GCD(800, 534) = ( 800 x 534 ) / 213600

= 800 / 534

= 800

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 800, 534, 702, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 335, 346, 561
• GCD of 795, 699, 474, 610
• GCD of 105, 720, 322, 125
• GCD of 895, 851, 933, 556
• GCD of 749, 953, 894, 435

Given numbers are 800, 534, 702, 644
The greatest common divisor of numbers 800, 534, 702, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 534, 702, 644 is 2.

1. What is the GCD of 800, 534, 702, 644?

GCD of given numbers 800, 534, 702, 644 is 2

2. How to calculate the greatest common divisor of 800, 534, 702, 644?

We can find the highest common divisor of 800, 534, 702, 644 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, 534, 702, 644 i.e 2.

3. How can I use the GCD of 800, 534, 702, 644Calculator?

Out the numbers 800, 534, 702, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.