GCD of 874, 592, 55, 142 Calculator

Given Input numbers are 874, 592, 55, 142

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

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 874, 592, 55, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 592, 55, 142 is 1.

Therefore, GCD of numbers 874, 592, 55, 142 is 1

Given Input Data is 874, 592, 55, 142

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 55 is 5 x 11

Prime Factorization of 142 is 2 x 71

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(874, 592) = 258704

GCD(874, 592) = ( 874 x 592 ) / 258704

GCD(874, 592) = 517408 / 258704

GCD(874, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 874, 592, 55, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 919, 92, 662
• GCD of 971, 237, 31, 849
• GCD of 706, 904, 88, 173
• GCD of 550, 269, 15, 960
• GCD of 947, 811, 27, 308

1. What is the GCD of 874, 592, 55, 142?

GCD of 874, 592, 55, 142 is 1

2. Where do I get the detailed procedure to find GCD of 874, 592, 55, 142?

You can find a detailed procedure to find GCD of 874, 592, 55, 142 on our page.

3. How to find GCD of 874, 592, 55, 142 on a calculator?

You can find the GCD of 874, 592, 55, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.