GCD of 40, 196, 355, 769 Calculator

Given Input numbers are 40, 196, 355, 769

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 40, 196, 355, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 196, 355, 769 is 1.

Therefore, GCD of numbers 40, 196, 355, 769 is 1

Given Input Data is 40, 196, 355, 769

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 355 is 5 x 71

Prime Factorization of 769 is 769

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(40, 196) = 1960

GCD(40, 196) = ( 40 x 196 ) / 1960

GCD(40, 196) = 7840 / 1960

GCD(40, 196) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 355

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

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

GCD(4, 355) = 1420 / 1420

GCD(4, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 40, 196, 355, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 749, 157, 495
• GCD of 34, 661, 483, 254
• GCD of 63, 999, 396, 828
• GCD of 27, 354, 749, 120
• GCD of 93, 924, 189, 385

1. What is the GCD of 40, 196, 355, 769?

GCD of 40, 196, 355, 769 is 1

2. Where do I get the detailed procedure to find GCD of 40, 196, 355, 769?

You can find a detailed procedure to find GCD of 40, 196, 355, 769 on our page.

3. How to find GCD of 40, 196, 355, 769 on a calculator?

You can find the GCD of 40, 196, 355, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.