GCD of 602, 216, 280, 698 Calculator

Given Input numbers are 602, 216, 280, 698

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

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 (602, 216, 280, 698) = 2.

Given numbers are 602, 216, 280, 698

The list of prime factors of all numbers are

Prime factors of 602 are 2 x 7 x 43

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 602, 216, 280, 698 is 2.

Given numbers are 602, 216, 280, 698

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

Apply this formula for all numbers.

Step1:

LCM(602, 216) = 65016

GCD(602, 216) = ( 602 x 216 ) / 65016

= 602 / 216

= 602

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 602, 216, 280, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 538, 456, 429
• GCD of 686, 485, 893, 728
• GCD of 939, 654, 658, 556
• GCD of 200, 494, 897, 178
• GCD of 175, 137, 860, 315

Given numbers are 602, 216, 280, 698
The greatest common divisor of numbers 602, 216, 280, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 602, 216, 280, 698 is 2.

1. What is the GCD of 602, 216, 280, 698?

GCD of given numbers 602, 216, 280, 698 is 2

2. How to calculate the greatest common divisor of 602, 216, 280, 698?

We can find the highest common divisor of 602, 216, 280, 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 602, 216, 280, 698 i.e 2.

3. How can I use the GCD of 602, 216, 280, 698Calculator?

Out the numbers 602, 216, 280, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.