GCD of 800, 876, 722, 378 Calculator

Given Input numbers are 800, 876, 722, 378

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (800, 876, 722, 378) = 2.

Given numbers are 800, 876, 722, 378

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 876 are 2 x 2 x 3 x 73

Prime factors of 722 are 2 x 19 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 800, 876, 722, 378 is 2.

Given numbers are 800, 876, 722, 378

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

Apply this formula for all numbers.

Step1:

LCM(800, 876) = 175200

GCD(800, 876) = ( 800 x 876 ) / 175200

= 800 / 876

= 800

Step2:

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

= 4 / 722

= 4

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 800, 876, 722, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 571, 774, 991
• GCD of 220, 968, 820, 198
• GCD of 493, 910, 121, 218
• GCD of 911, 842, 857, 341
• GCD of 265, 428, 813, 997

Given numbers are 800, 876, 722, 378
The greatest common divisor of numbers 800, 876, 722, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 876, 722, 378 is 2.

1. What is the GCD of 800, 876, 722, 378?

GCD of given numbers 800, 876, 722, 378 is 2

2. How to calculate the greatest common divisor of 800, 876, 722, 378?

We can find the highest common divisor of 800, 876, 722, 378 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, 876, 722, 378 i.e 2.

3. How can I use the GCD of 800, 876, 722, 378Calculator?

Out the numbers 800, 876, 722, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.