GCD of 49, 388, 952, 354 Calculator

Given Input numbers are 49, 388, 952, 354

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 49, 388, 952, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 388, 952, 354 is 1.

Therefore, GCD of numbers 49, 388, 952, 354 is 1

Given Input Data is 49, 388, 952, 354

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 354 is 2 x 3 x 59

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(49, 388) = 19012

GCD(49, 388) = ( 49 x 388 ) / 19012

GCD(49, 388) = 19012 / 19012

GCD(49, 388) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 49, 388, 952, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 271, 998, 222
• GCD of 63, 881, 486, 377
• GCD of 58, 298, 428, 288
• GCD of 43, 548, 330, 342
• GCD of 79, 902, 476, 900

1. What is the GCD of 49, 388, 952, 354?

GCD of 49, 388, 952, 354 is 1

2. Where do I get the detailed procedure to find GCD of 49, 388, 952, 354?

You can find a detailed procedure to find GCD of 49, 388, 952, 354 on our page.

3. How to find GCD of 49, 388, 952, 354 on a calculator?

You can find the GCD of 49, 388, 952, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.