GCD of 600, 570, 980, 698 Calculator

Given Input numbers are 600, 570, 980, 698

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (600, 570, 980, 698) = 2.

Given numbers are 600, 570, 980, 698

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 600, 570, 980, 698 is 2.

Given numbers are 600, 570, 980, 698

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

Apply this formula for all numbers.

Step1:

LCM(600, 570) = 11400

GCD(600, 570) = ( 600 x 570 ) / 11400

= 600 / 570

= 600

Step2:

LCM(30, 980) = 2940

GCD(30, 980) = ( 30 x 980 ) / 2940

= 30 / 980

= 30

Step3:

LCM(10, 698) = 3490

GCD(10, 698) = ( 10 x 698 ) / 3490

= 10 / 698

= 10

So, Greatest Common Divisor of 600, 570, 980, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 129, 262, 722
• GCD of 452, 970, 408, 885
• GCD of 471, 404, 779, 854
• GCD of 737, 198, 776, 900
• GCD of 566, 674, 564, 827

Given numbers are 600, 570, 980, 698
The greatest common divisor of numbers 600, 570, 980, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 570, 980, 698 is 2.

1. What is the GCD of 600, 570, 980, 698?

GCD of given numbers 600, 570, 980, 698 is 2

2. How to calculate the greatest common divisor of 600, 570, 980, 698?

We can find the highest common divisor of 600, 570, 980, 698 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 600, 570, 980, 698 i.e 2.

3. How can I use the GCD of 600, 570, 980, 698Calculator?

Out the numbers 600, 570, 980, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.