GCD of 704, 940, 21, 358 Calculator

Given Input numbers are 704, 940, 21, 358

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 704, 940, 21, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 940, 21, 358 is 1.

Therefore, GCD of numbers 704, 940, 21, 358 is 1

Given Input Data is 704, 940, 21, 358

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 21 is 3 x 7

Prime Factorization of 358 is 2 x 179

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(704, 940) = 165440

GCD(704, 940) = ( 704 x 940 ) / 165440

GCD(704, 940) = 661760 / 165440

GCD(704, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 704, 940, 21, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 540, 90, 427
• GCD of 955, 678, 78, 181
• GCD of 927, 781, 85, 158
• GCD of 100, 519, 20, 845
• GCD of 276, 910, 64, 804

1. What is the GCD of 704, 940, 21, 358?

GCD of 704, 940, 21, 358 is 1

2. Where do I get the detailed procedure to find GCD of 704, 940, 21, 358?

You can find a detailed procedure to find GCD of 704, 940, 21, 358 on our page.

3. How to find GCD of 704, 940, 21, 358 on a calculator?

You can find the GCD of 704, 940, 21, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.