GCD of 690, 214, 598, 284 Calculator

Given Input numbers are 690, 214, 598, 284

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (690, 214, 598, 284) = 2.

Given numbers are 690, 214, 598, 284

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 214 are 2 x 107

Prime factors of 598 are 2 x 13 x 23

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 690, 214, 598, 284 is 2.

Given numbers are 690, 214, 598, 284

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

Apply this formula for all numbers.

Step1:

LCM(690, 214) = 73830

GCD(690, 214) = ( 690 x 214 ) / 73830

= 690 / 214

= 690

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

So, Greatest Common Divisor of 690, 214, 598, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 873, 567, 534
• GCD of 235, 161, 345, 463
• GCD of 637, 157, 843, 217
• GCD of 615, 151, 432, 383
• GCD of 626, 286, 295, 136

Given numbers are 690, 214, 598, 284
The greatest common divisor of numbers 690, 214, 598, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 214, 598, 284 is 2.

1. What is the GCD of 690, 214, 598, 284?

GCD of given numbers 690, 214, 598, 284 is 2

2. How to calculate the greatest common divisor of 690, 214, 598, 284?

We can find the highest common divisor of 690, 214, 598, 284 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 690, 214, 598, 284 i.e 2.

3. How can I use the GCD of 690, 214, 598, 284Calculator?

Out the numbers 690, 214, 598, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.