GCD of 340, 136, 825, 977 Calculator

Given Input numbers are 340, 136, 825, 977

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

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 340, 136, 825, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 136, 825, 977 is 1.

Therefore, GCD of numbers 340, 136, 825, 977 is 1

Given Input Data is 340, 136, 825, 977

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

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 977 is 977

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(340, 136) = 680

GCD(340, 136) = ( 340 x 136 ) / 680

GCD(340, 136) = 46240 / 680

GCD(340, 136) = 68

Step2:

Here we consider the GCD from the above i.e. 68 as first number and the next as 825

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

LCM(68, 825) = 56100

GCD(68, 825) = ( 68 x 825 ) / 56100

GCD(68, 825) = 56100 / 56100

GCD(68, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 340, 136, 825, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 154, 388, 449
• GCD of 561, 455, 543, 271
• GCD of 636, 720, 387, 924
• GCD of 420, 699, 272, 962
• GCD of 948, 821, 388, 327

1. What is the GCD of 340, 136, 825, 977?

GCD of 340, 136, 825, 977 is 1

2. Where do I get the detailed procedure to find GCD of 340, 136, 825, 977?

You can find a detailed procedure to find GCD of 340, 136, 825, 977 on our page.

3. How to find GCD of 340, 136, 825, 977 on a calculator?

You can find the GCD of 340, 136, 825, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.