GCD of 354, 441, 373, 772 Calculator

Given Input numbers are 354, 441, 373, 772

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

Divisors of 354

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

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 354, 441, 373, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 441, 373, 772 is 1.

Therefore, GCD of numbers 354, 441, 373, 772 is 1

Given Input Data is 354, 441, 373, 772

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 373 is 373

Prime Factorization of 772 is 2 x 2 x 193

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(354, 441) = 52038

GCD(354, 441) = ( 354 x 441 ) / 52038

GCD(354, 441) = 156114 / 52038

GCD(354, 441) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 373

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

LCM(3, 373) = 1119

GCD(3, 373) = ( 3 x 373 ) / 1119

GCD(3, 373) = 1119 / 1119

GCD(3, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 354, 441, 373, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 977, 831, 450
• GCD of 314, 617, 834, 350
• GCD of 946, 608, 600, 153
• GCD of 799, 461, 808, 220
• GCD of 973, 156, 280, 672

1. What is the GCD of 354, 441, 373, 772?

GCD of 354, 441, 373, 772 is 1

2. Where do I get the detailed procedure to find GCD of 354, 441, 373, 772?

You can find a detailed procedure to find GCD of 354, 441, 373, 772 on our page.

3. How to find GCD of 354, 441, 373, 772 on a calculator?

You can find the GCD of 354, 441, 373, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.