GCD of 735, 340, 23, 986 Calculator

Given Input numbers are 735, 340, 23, 986

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 735, 340, 23, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 340, 23, 986 is 1.

Therefore, GCD of numbers 735, 340, 23, 986 is 1

Given Input Data is 735, 340, 23, 986

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 23 is 23

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(735, 340) = 49980

GCD(735, 340) = ( 735 x 340 ) / 49980

GCD(735, 340) = 249900 / 49980

GCD(735, 340) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 23

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

LCM(5, 23) = 115

GCD(5, 23) = ( 5 x 23 ) / 115

GCD(5, 23) = 115 / 115

GCD(5, 23) = 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 735, 340, 23, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 971, 96, 539
• GCD of 630, 307, 55, 257
• GCD of 477, 771, 56, 324
• GCD of 143, 523, 53, 132
• GCD of 434, 766, 77, 510

1. What is the GCD of 735, 340, 23, 986?

GCD of 735, 340, 23, 986 is 1

2. Where do I get the detailed procedure to find GCD of 735, 340, 23, 986?

You can find a detailed procedure to find GCD of 735, 340, 23, 986 on our page.

3. How to find GCD of 735, 340, 23, 986 on a calculator?

You can find the GCD of 735, 340, 23, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.