GCD of 588, 916, 698, 586 Calculator

Given Input numbers are 588, 916, 698, 586

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (588, 916, 698, 586) = 2.

Given numbers are 588, 916, 698, 586

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 916 are 2 x 2 x 229

Prime factors of 698 are 2 x 349

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 588, 916, 698, 586 is 2.

Given numbers are 588, 916, 698, 586

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

Apply this formula for all numbers.

Step1:

LCM(588, 916) = 134652

GCD(588, 916) = ( 588 x 916 ) / 134652

= 588 / 916

= 588

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

Step3:

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

= 2 / 586

= 2

So, Greatest Common Divisor of 588, 916, 698, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 231, 950, 743
• GCD of 706, 464, 293, 340
• GCD of 298, 698, 224, 940
• GCD of 338, 690, 238, 105
• GCD of 742, 255, 793, 974

Given numbers are 588, 916, 698, 586
The greatest common divisor of numbers 588, 916, 698, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 916, 698, 586 is 2.

1. What is the GCD of 588, 916, 698, 586?

GCD of given numbers 588, 916, 698, 586 is 2

2. How to calculate the greatest common divisor of 588, 916, 698, 586?

We can find the highest common divisor of 588, 916, 698, 586 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 588, 916, 698, 586 i.e 2.

3. How can I use the GCD of 588, 916, 698, 586Calculator?

Out the numbers 588, 916, 698, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.