GCD of 86, 748, 942, 897 Calculator

Given Input numbers are 86, 748, 942, 897

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 942

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

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 86, 748, 942, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 748, 942, 897 is 1.

Therefore, GCD of numbers 86, 748, 942, 897 is 1

Given Input Data is 86, 748, 942, 897

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 897 is 3 x 13 x 23

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(86, 748) = 32164

GCD(86, 748) = ( 86 x 748 ) / 32164

GCD(86, 748) = 64328 / 32164

GCD(86, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

GCD of 86, 748, 942, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 832, 648, 391
• GCD of 48, 151, 866, 803
• GCD of 75, 376, 860, 934
• GCD of 88, 105, 995, 504
• GCD of 43, 887, 691, 584

1. What is the GCD of 86, 748, 942, 897?

GCD of 86, 748, 942, 897 is 1

2. Where do I get the detailed procedure to find GCD of 86, 748, 942, 897?

You can find a detailed procedure to find GCD of 86, 748, 942, 897 on our page.

3. How to find GCD of 86, 748, 942, 897 on a calculator?

You can find the GCD of 86, 748, 942, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.