GCD of 135, 600, 865, 686 Calculator

Given Input numbers are 135, 600, 865, 686

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

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 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (135, 600, 865, 686) = 1.

Given numbers are 135, 600, 865, 686

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 865 are 5 x 173

Prime factors of 686 are 2 x 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 135, 600, 865, 686

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

Apply this formula for all numbers.

Step1:

LCM(135, 600) = 5400

GCD(135, 600) = ( 135 x 600 ) / 5400

= 135 / 600

= 135

Step2:

LCM(15, 865) = 2595

GCD(15, 865) = ( 15 x 865 ) / 2595

= 15 / 865

= 15

Step3:

LCM(5, 686) = 3430

GCD(5, 686) = ( 5 x 686 ) / 3430

= 5 / 686

= 5

So, Greatest Common Divisor of 135, 600, 865, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 549, 411, 787
• GCD of 629, 295, 911, 948
• GCD of 526, 818, 952, 588
• GCD of 377, 315, 248, 539
• GCD of 315, 456, 334, 196

Given numbers are 135, 600, 865, 686
The greatest common divisor of numbers 135, 600, 865, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 600, 865, 686 is 1.

1. What is the GCD of 135, 600, 865, 686?

GCD of given numbers 135, 600, 865, 686 is 1

2. How to calculate the greatest common divisor of 135, 600, 865, 686?

We can find the highest common divisor of 135, 600, 865, 686 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 135, 600, 865, 686 i.e 1.

3. How can I use the GCD of 135, 600, 865, 686Calculator?

Out the numbers 135, 600, 865, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.