GCD of 600, 688, 886, 364 Calculator

Given Input numbers are 600, 688, 886, 364

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (600, 688, 886, 364) = 2.

Given numbers are 600, 688, 886, 364

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 886 are 2 x 443

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 600, 688, 886, 364 is 2.

Given numbers are 600, 688, 886, 364

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

Apply this formula for all numbers.

Step1:

LCM(600, 688) = 51600

GCD(600, 688) = ( 600 x 688 ) / 51600

= 600 / 688

= 600

Step2:

LCM(8, 886) = 3544

GCD(8, 886) = ( 8 x 886 ) / 3544

= 8 / 886

= 8

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 600, 688, 886, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 903, 955, 364
• GCD of 755, 396, 504, 350
• GCD of 106, 838, 592, 889
• GCD of 109, 593, 714, 208
• GCD of 845, 281, 851, 650

Given numbers are 600, 688, 886, 364
The greatest common divisor of numbers 600, 688, 886, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 688, 886, 364 is 2.

1. What is the GCD of 600, 688, 886, 364?

GCD of given numbers 600, 688, 886, 364 is 2

2. How to calculate the greatest common divisor of 600, 688, 886, 364?

We can find the highest common divisor of 600, 688, 886, 364 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, 688, 886, 364 i.e 2.

3. How can I use the GCD of 600, 688, 886, 364Calculator?

Out the numbers 600, 688, 886, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.