GCD of 800, 710, 996, 510 Calculator

Given Input numbers are 800, 710, 996, 510

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 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (800, 710, 996, 510) = 2.

Given numbers are 800, 710, 996, 510

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 710 are 2 x 5 x 71

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 800, 710, 996, 510 is 2.

Given numbers are 800, 710, 996, 510

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

Apply this formula for all numbers.

Step1:

LCM(800, 710) = 56800

GCD(800, 710) = ( 800 x 710 ) / 56800

= 800 / 710

= 800

Step2:

LCM(10, 996) = 4980

GCD(10, 996) = ( 10 x 996 ) / 4980

= 10 / 996

= 10

Step3:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

So, Greatest Common Divisor of 800, 710, 996, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 819, 761, 867
• GCD of 998, 962, 654, 152
• GCD of 757, 922, 157, 735
• GCD of 288, 438, 825, 908
• GCD of 293, 349, 732, 415

Given numbers are 800, 710, 996, 510
The greatest common divisor of numbers 800, 710, 996, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 710, 996, 510 is 2.

1. What is the GCD of 800, 710, 996, 510?

GCD of given numbers 800, 710, 996, 510 is 2

2. How to calculate the greatest common divisor of 800, 710, 996, 510?

We can find the highest common divisor of 800, 710, 996, 510 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, 710, 996, 510 i.e 2.

3. How can I use the GCD of 800, 710, 996, 510Calculator?

Out the numbers 800, 710, 996, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.