GCD of 814, 727, 170, 100 Calculator

Given Input numbers are 814, 727, 170, 100

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (814, 727, 170, 100) = 1.

Given numbers are 814, 727, 170, 100

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 727 are 727

Prime factors of 170 are 2 x 5 x 17

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 814, 727, 170, 100

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

Apply this formula for all numbers.

Step1:

LCM(814, 727) = 591778

GCD(814, 727) = ( 814 x 727 ) / 591778

= 814 / 727

= 814

Step2:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 814, 727, 170, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 315, 885, 128
• GCD of 984, 396, 424, 217
• GCD of 688, 436, 261, 117
• GCD of 776, 635, 927, 191
• GCD of 900, 429, 801, 903

Given numbers are 814, 727, 170, 100
The greatest common divisor of numbers 814, 727, 170, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 727, 170, 100 is 1.

1. What is the GCD of 814, 727, 170, 100?

GCD of given numbers 814, 727, 170, 100 is 1

2. How to calculate the greatest common divisor of 814, 727, 170, 100?

We can find the highest common divisor of 814, 727, 170, 100 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 814, 727, 170, 100 i.e 1.

3. How can I use the GCD of 814, 727, 170, 100Calculator?

Out the numbers 814, 727, 170, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.