GCD of 85, 651, 359, 214 Calculator

Given Input numbers are 85, 651, 359, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 85, 651, 359, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 651, 359, 214 is 1.

Therefore, GCD of numbers 85, 651, 359, 214 is 1

Given Input Data is 85, 651, 359, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 85 is 5 x 17

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 359 is 359

Prime Factorization of 214 is 2 x 107

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(85, 651) = 55335

GCD(85, 651) = ( 85 x 651 ) / 55335

GCD(85, 651) = 55335 / 55335

GCD(85, 651) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 85, 651, 359, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 915, 998, 466
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• GCD of 31, 307, 990, 199

1. What is the GCD of 85, 651, 359, 214?

GCD of 85, 651, 359, 214 is 1

2. Where do I get the detailed procedure to find GCD of 85, 651, 359, 214?

You can find a detailed procedure to find GCD of 85, 651, 359, 214 on our page.

3. How to find GCD of 85, 651, 359, 214 on a calculator?

You can find the GCD of 85, 651, 359, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.