GCD of 878, 742, 417, 942 Calculator

Given Input numbers are 878, 742, 417, 942

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

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 878, 742, 417, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 742, 417, 942 is 1.

Therefore, GCD of numbers 878, 742, 417, 942 is 1

Given Input Data is 878, 742, 417, 942

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 417 is 3 x 139

Prime Factorization of 942 is 2 x 3 x 157

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(878, 742) = 325738

GCD(878, 742) = ( 878 x 742 ) / 325738

GCD(878, 742) = 651476 / 325738

GCD(878, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 417

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

LCM(2, 417) = 834

GCD(2, 417) = ( 2 x 417 ) / 834

GCD(2, 417) = 834 / 834

GCD(2, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 878, 742, 417, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 595, 296, 847
• GCD of 651, 273, 791, 852
• GCD of 253, 888, 944, 866
• GCD of 343, 846, 530, 541
• GCD of 705, 816, 145, 332

1. What is the GCD of 878, 742, 417, 942?

GCD of 878, 742, 417, 942 is 1

2. Where do I get the detailed procedure to find GCD of 878, 742, 417, 942?

You can find a detailed procedure to find GCD of 878, 742, 417, 942 on our page.

3. How to find GCD of 878, 742, 417, 942 on a calculator?

You can find the GCD of 878, 742, 417, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.