GCD of 196, 490, 57, 358 Calculator

Given Input numbers are 196, 490, 57, 358

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

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 196, 490, 57, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 490, 57, 358 is 1.

Therefore, GCD of numbers 196, 490, 57, 358 is 1

Given Input Data is 196, 490, 57, 358

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

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 57 is 3 x 19

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(196, 490) = 980

GCD(196, 490) = ( 196 x 490 ) / 980

GCD(196, 490) = 96040 / 980

GCD(196, 490) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 57

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

LCM(98, 57) = 5586

GCD(98, 57) = ( 98 x 57 ) / 5586

GCD(98, 57) = 5586 / 5586

GCD(98, 57) = 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 196, 490, 57, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 296, 83, 787
• GCD of 291, 505, 97, 956
• GCD of 174, 690, 75, 192
• GCD of 304, 637, 35, 997
• GCD of 584, 863, 27, 185

1. What is the GCD of 196, 490, 57, 358?

GCD of 196, 490, 57, 358 is 1

2. Where do I get the detailed procedure to find GCD of 196, 490, 57, 358?

You can find a detailed procedure to find GCD of 196, 490, 57, 358 on our page.

3. How to find GCD of 196, 490, 57, 358 on a calculator?

You can find the GCD of 196, 490, 57, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.