GCD of 800, 614, 738, 882 Calculator

Given Input numbers are 800, 614, 738, 882

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (800, 614, 738, 882) = 2.

Given numbers are 800, 614, 738, 882

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 614 are 2 x 307

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 800, 614, 738, 882 is 2.

Given numbers are 800, 614, 738, 882

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

Apply this formula for all numbers.

Step1:

LCM(800, 614) = 245600

GCD(800, 614) = ( 800 x 614 ) / 245600

= 800 / 614

= 800

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 800, 614, 738, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 144, 192, 950
• GCD of 752, 643, 675, 978
• GCD of 508, 145, 594, 514
• GCD of 852, 886, 712, 754
• GCD of 618, 980, 432, 293

Given numbers are 800, 614, 738, 882
The greatest common divisor of numbers 800, 614, 738, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 614, 738, 882 is 2.

1. What is the GCD of 800, 614, 738, 882?

GCD of given numbers 800, 614, 738, 882 is 2

2. How to calculate the greatest common divisor of 800, 614, 738, 882?

We can find the highest common divisor of 800, 614, 738, 882 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, 614, 738, 882 i.e 2.

3. How can I use the GCD of 800, 614, 738, 882Calculator?

Out the numbers 800, 614, 738, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.