GCD of 800, 698, 308, 508 Calculator

Given Input numbers are 800, 698, 308, 508

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (800, 698, 308, 508) = 2.

Given numbers are 800, 698, 308, 508

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 698 are 2 x 349

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2¹

Therefore, GCD of 800, 698, 308, 508 is 2.

Given numbers are 800, 698, 308, 508

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

Apply this formula for all numbers.

Step1:

LCM(800, 698) = 279200

GCD(800, 698) = ( 800 x 698 ) / 279200

= 800 / 698

= 800

Step2:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

Step3:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2

So, Greatest Common Divisor of 800, 698, 308, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 153, 957, 823
• GCD of 312, 736, 299, 378
• GCD of 254, 902, 887, 112
• GCD of 986, 631, 754, 556
• GCD of 118, 436, 359, 308

Given numbers are 800, 698, 308, 508
The greatest common divisor of numbers 800, 698, 308, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 698, 308, 508 is 2.

1. What is the GCD of 800, 698, 308, 508?

GCD of given numbers 800, 698, 308, 508 is 2

2. How to calculate the greatest common divisor of 800, 698, 308, 508?

We can find the highest common divisor of 800, 698, 308, 508 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, 698, 308, 508 i.e 2.

3. How can I use the GCD of 800, 698, 308, 508Calculator?

Out the numbers 800, 698, 308, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.