GCD of 698, 500, 368, 570 Calculator

Given Input numbers are 698, 500, 368, 570

In the factoring method, we have to find the divisors of all numbers

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (698, 500, 368, 570) = 2.

Given numbers are 698, 500, 368, 570

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 570 are 2 x 3 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 698, 500, 368, 570 is 2.

Given numbers are 698, 500, 368, 570

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

Apply this formula for all numbers.

Step1:

LCM(698, 500) = 174500

GCD(698, 500) = ( 698 x 500 ) / 174500

= 698 / 500

= 698

Step2:

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

= 2 / 368

= 2

Step3:

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

= 2 / 570

= 2

So, Greatest Common Divisor of 698, 500, 368, 570 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 307, 196, 812
• GCD of 668, 612, 633, 898
• GCD of 832, 976, 331, 364
• GCD of 611, 808, 901, 811
• GCD of 425, 306, 690, 530

Given numbers are 698, 500, 368, 570
The greatest common divisor of numbers 698, 500, 368, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 500, 368, 570 is 2.

1. What is the GCD of 698, 500, 368, 570?

GCD of given numbers 698, 500, 368, 570 is 2

2. How to calculate the greatest common divisor of 698, 500, 368, 570?

We can find the highest common divisor of 698, 500, 368, 570 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 698, 500, 368, 570 i.e 2.

3. How can I use the GCD of 698, 500, 368, 570Calculator?

Out the numbers 698, 500, 368, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.