GCD of 688, 874, 64, 143 Calculator

Given Input numbers are 688, 874, 64, 143

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

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 688, 874, 64, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 874, 64, 143 is 1.

Therefore, GCD of numbers 688, 874, 64, 143 is 1

Given Input Data is 688, 874, 64, 143

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

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 143 is 11 x 13

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(688, 874) = 300656

GCD(688, 874) = ( 688 x 874 ) / 300656

GCD(688, 874) = 601312 / 300656

GCD(688, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 143

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

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

GCD(2, 143) = 286 / 286

GCD(2, 143) = 1

GCD of 688, 874, 64, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 755, 39, 644
• GCD of 805, 153, 82, 696
• GCD of 978, 695, 76, 886
• GCD of 349, 687, 83, 364
• GCD of 899, 139, 82, 690

1. What is the GCD of 688, 874, 64, 143?

GCD of 688, 874, 64, 143 is 1

2. Where do I get the detailed procedure to find GCD of 688, 874, 64, 143?

You can find a detailed procedure to find GCD of 688, 874, 64, 143 on our page.

3. How to find GCD of 688, 874, 64, 143 on a calculator?

You can find the GCD of 688, 874, 64, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.