GCD of 917, 500, 705, 136 Calculator

Given Input numbers are 917, 500, 705, 136

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (917, 500, 705, 136) = 1.

Given numbers are 917, 500, 705, 136

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

Prime factors of 136 are 2 x 2 x 2 x 17

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

Given numbers are 917, 500, 705, 136

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

Apply this formula for all numbers.

Step1:

LCM(917, 500) = 458500

GCD(917, 500) = ( 917 x 500 ) / 458500

= 917 / 500

= 917

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1

So, Greatest Common Divisor of 917, 500, 705, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 409, 465, 691
• GCD of 859, 884, 189, 985
• GCD of 243, 735, 911, 332
• GCD of 703, 256, 712, 658
• GCD of 854, 688, 301, 768

Given numbers are 917, 500, 705, 136
The greatest common divisor of numbers 917, 500, 705, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 500, 705, 136 is 1.

1. What is the GCD of 917, 500, 705, 136?

GCD of given numbers 917, 500, 705, 136 is 1

2. How to calculate the greatest common divisor of 917, 500, 705, 136?

We can find the highest common divisor of 917, 500, 705, 136 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 917, 500, 705, 136 i.e 1.

3. How can I use the GCD of 917, 500, 705, 136Calculator?

Out the numbers 917, 500, 705, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.