GCD of 600, 680, 866, 358 Calculator

Given Input numbers are 600, 680, 866, 358

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (600, 680, 866, 358) = 2.

Given numbers are 600, 680, 866, 358

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 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 866 are 2 x 433

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 600, 680, 866, 358 is 2.

Given numbers are 600, 680, 866, 358

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

Apply this formula for all numbers.

Step1:

LCM(600, 680) = 10200

GCD(600, 680) = ( 600 x 680 ) / 10200

= 600 / 680

= 600

Step2:

LCM(40, 866) = 17320

GCD(40, 866) = ( 40 x 866 ) / 17320

= 40 / 866

= 40

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 600, 680, 866, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 897, 368, 670
• GCD of 379, 588, 174, 406
• GCD of 492, 400, 562, 783
• GCD of 512, 178, 488, 508
• GCD of 255, 661, 516, 534

Given numbers are 600, 680, 866, 358
The greatest common divisor of numbers 600, 680, 866, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 680, 866, 358 is 2.

1. What is the GCD of 600, 680, 866, 358?

GCD of given numbers 600, 680, 866, 358 is 2

2. How to calculate the greatest common divisor of 600, 680, 866, 358?

We can find the highest common divisor of 600, 680, 866, 358 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, 680, 866, 358 i.e 2.

3. How can I use the GCD of 600, 680, 866, 358Calculator?

Out the numbers 600, 680, 866, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.