GCD of 736, 889, 866, 986 Calculator

Given Input numbers are 736, 889, 866, 986

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 736, 889, 866, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 889, 866, 986 is 1.

Therefore, GCD of numbers 736, 889, 866, 986 is 1

Given Input Data is 736, 889, 866, 986

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 889 is 7 x 127

Prime Factorization of 866 is 2 x 433

Prime Factorization of 986 is 2 x 17 x 29

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(736, 889) = 654304

GCD(736, 889) = ( 736 x 889 ) / 654304

GCD(736, 889) = 654304 / 654304

GCD(736, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 866

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

LCM(1, 866) = 866

GCD(1, 866) = ( 1 x 866 ) / 866

GCD(1, 866) = 866 / 866

GCD(1, 866) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 736, 889, 866, 986 is 1

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1. What is the GCD of 736, 889, 866, 986?

GCD of 736, 889, 866, 986 is 1

2. Where do I get the detailed procedure to find GCD of 736, 889, 866, 986?

You can find a detailed procedure to find GCD of 736, 889, 866, 986 on our page.

3. How to find GCD of 736, 889, 866, 986 on a calculator?

You can find the GCD of 736, 889, 866, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.