GCD of 698, 570, 310, 852 Calculator

Given Input numbers are 698, 570, 310, 852

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 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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (698, 570, 310, 852) = 2.

Given numbers are 698, 570, 310, 852

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 698, 570, 310, 852 is 2.

Given numbers are 698, 570, 310, 852

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

Apply this formula for all numbers.

Step1:

LCM(698, 570) = 198930

GCD(698, 570) = ( 698 x 570 ) / 198930

= 698 / 570

= 698

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 698, 570, 310, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 199, 309, 384
• GCD of 747, 704, 659, 735
• GCD of 112, 307, 102, 795
• GCD of 443, 134, 600, 993
• GCD of 454, 939, 496, 272

Given numbers are 698, 570, 310, 852
The greatest common divisor of numbers 698, 570, 310, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 570, 310, 852 is 2.

1. What is the GCD of 698, 570, 310, 852?

GCD of given numbers 698, 570, 310, 852 is 2

2. How to calculate the greatest common divisor of 698, 570, 310, 852?

We can find the highest common divisor of 698, 570, 310, 852 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, 570, 310, 852 i.e 2.

3. How can I use the GCD of 698, 570, 310, 852Calculator?

Out the numbers 698, 570, 310, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.