GCD of 546, 700, 449, 332 Calculator

Given Input numbers are 546, 700, 449, 332

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 546, 700, 449, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 700, 449, 332 is 1.

Therefore, GCD of numbers 546, 700, 449, 332 is 1

Given Input Data is 546, 700, 449, 332

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 449 is 449

Prime Factorization of 332 is 2 x 2 x 83

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(546, 700) = 27300

GCD(546, 700) = ( 546 x 700 ) / 27300

GCD(546, 700) = 382200 / 27300

GCD(546, 700) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 449

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

LCM(14, 449) = 6286

GCD(14, 449) = ( 14 x 449 ) / 6286

GCD(14, 449) = 6286 / 6286

GCD(14, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 546, 700, 449, 332 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 353, 696, 631
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• GCD of 351, 918, 220, 371
• GCD of 516, 917, 803, 175

1. What is the GCD of 546, 700, 449, 332?

GCD of 546, 700, 449, 332 is 1

2. Where do I get the detailed procedure to find GCD of 546, 700, 449, 332?

You can find a detailed procedure to find GCD of 546, 700, 449, 332 on our page.

3. How to find GCD of 546, 700, 449, 332 on a calculator?

You can find the GCD of 546, 700, 449, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.