GCD of 800, 370, 156, 168 Calculator

Given Input numbers are 800, 370, 156, 168

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (800, 370, 156, 168) = 2.

Given numbers are 800, 370, 156, 168

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 370 are 2 x 5 x 37

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 800, 370, 156, 168 is 2.

Given numbers are 800, 370, 156, 168

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

Apply this formula for all numbers.

Step1:

LCM(800, 370) = 29600

GCD(800, 370) = ( 800 x 370 ) / 29600

= 800 / 370

= 800

Step2:

LCM(10, 156) = 780

GCD(10, 156) = ( 10 x 156 ) / 780

= 10 / 156

= 10

Step3:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

So, Greatest Common Divisor of 800, 370, 156, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 873, 387, 741
• GCD of 198, 726, 327, 896
• GCD of 755, 719, 611, 412
• GCD of 442, 547, 571, 703
• GCD of 133, 311, 817, 934

Given numbers are 800, 370, 156, 168
The greatest common divisor of numbers 800, 370, 156, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 370, 156, 168 is 2.

1. What is the GCD of 800, 370, 156, 168?

GCD of given numbers 800, 370, 156, 168 is 2

2. How to calculate the greatest common divisor of 800, 370, 156, 168?

We can find the highest common divisor of 800, 370, 156, 168 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, 370, 156, 168 i.e 2.

3. How can I use the GCD of 800, 370, 156, 168Calculator?

Out the numbers 800, 370, 156, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.