GCD of 856, 688, 60, 419 Calculator

Given Input numbers are 856, 688, 60, 419

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 856, 688, 60, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 688, 60, 419 is 1.

Therefore, GCD of numbers 856, 688, 60, 419 is 1

Given Input Data is 856, 688, 60, 419

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

Prime Factorization of 419 is 419

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(856, 688) = 73616

GCD(856, 688) = ( 856 x 688 ) / 73616

GCD(856, 688) = 588928 / 73616

GCD(856, 688) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 60

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

LCM(8, 60) = 120

GCD(8, 60) = ( 8 x 60 ) / 120

GCD(8, 60) = 480 / 120

GCD(8, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 419

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

LCM(4, 419) = 1676

GCD(4, 419) = ( 4 x 419 ) / 1676

GCD(4, 419) = 1676 / 1676

GCD(4, 419) = 1

GCD of 856, 688, 60, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 790, 73, 612
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1. What is the GCD of 856, 688, 60, 419?

GCD of 856, 688, 60, 419 is 1

2. Where do I get the detailed procedure to find GCD of 856, 688, 60, 419?

You can find a detailed procedure to find GCD of 856, 688, 60, 419 on our page.

3. How to find GCD of 856, 688, 60, 419 on a calculator?

You can find the GCD of 856, 688, 60, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.