GCD of 800, 320, 870, 632 Calculator

Given Input numbers are 800, 320, 870, 632

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (800, 320, 870, 632) = 2.

Given numbers are 800, 320, 870, 632

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 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 800, 320, 870, 632 is 2.

Given numbers are 800, 320, 870, 632

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

Apply this formula for all numbers.

Step1:

LCM(800, 320) = 1600

GCD(800, 320) = ( 800 x 320 ) / 1600

= 800 / 320

= 800

Step2:

LCM(160, 870) = 13920

GCD(160, 870) = ( 160 x 870 ) / 13920

= 160 / 870

= 160

Step3:

LCM(10, 632) = 3160

GCD(10, 632) = ( 10 x 632 ) / 3160

= 10 / 632

= 10

So, Greatest Common Divisor of 800, 320, 870, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 804, 233, 924
• GCD of 230, 407, 399, 774
• GCD of 245, 652, 728, 168
• GCD of 101, 787, 861, 884
• GCD of 620, 789, 536, 488

Given numbers are 800, 320, 870, 632
The greatest common divisor of numbers 800, 320, 870, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 320, 870, 632 is 2.

1. What is the GCD of 800, 320, 870, 632?

GCD of given numbers 800, 320, 870, 632 is 2

2. How to calculate the greatest common divisor of 800, 320, 870, 632?

We can find the highest common divisor of 800, 320, 870, 632 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, 320, 870, 632 i.e 2.

3. How can I use the GCD of 800, 320, 870, 632Calculator?

Out the numbers 800, 320, 870, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.