GCD of 60, 214, 857, 747 Calculator

Given Input numbers are 60, 214, 857, 747

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 214

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

1, 2, 107, 214

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 60, 214, 857, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 214, 857, 747 is 1.

Therefore, GCD of numbers 60, 214, 857, 747 is 1

Given Input Data is 60, 214, 857, 747

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 214 is 2 x 107

Prime Factorization of 857 is 857

Prime Factorization of 747 is 3 x 3 x 83

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(60, 214) = 6420

GCD(60, 214) = ( 60 x 214 ) / 6420

GCD(60, 214) = 12840 / 6420

GCD(60, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 60, 214, 857, 747 is 1

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• GCD of 52, 163, 675, 476
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1. What is the GCD of 60, 214, 857, 747?

GCD of 60, 214, 857, 747 is 1

2. Where do I get the detailed procedure to find GCD of 60, 214, 857, 747?

You can find a detailed procedure to find GCD of 60, 214, 857, 747 on our page.

3. How to find GCD of 60, 214, 857, 747 on a calculator?

You can find the GCD of 60, 214, 857, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.