GCD of 364, 700, 15, 546 Calculator

Given Input numbers are 364, 700, 15, 546

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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

Greatest Common Divisior

We found the divisors of 364, 700, 15, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 700, 15, 546 is 1.

Therefore, GCD of numbers 364, 700, 15, 546 is 1

Given Input Data is 364, 700, 15, 546

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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

Prime Factorization of 15 is 3 x 5

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

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(364, 700) = 9100

GCD(364, 700) = ( 364 x 700 ) / 9100

GCD(364, 700) = 254800 / 9100

GCD(364, 700) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 15

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

LCM(28, 15) = 420

GCD(28, 15) = ( 28 x 15 ) / 420

GCD(28, 15) = 420 / 420

GCD(28, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 364, 700, 15, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 326, 12, 486
• GCD of 615, 425, 69, 843
• GCD of 598, 290, 78, 940
• GCD of 747, 249, 74, 449
• GCD of 960, 257, 45, 947

1. What is the GCD of 364, 700, 15, 546?

GCD of 364, 700, 15, 546 is 1

2. Where do I get the detailed procedure to find GCD of 364, 700, 15, 546?

You can find a detailed procedure to find GCD of 364, 700, 15, 546 on our page.

3. How to find GCD of 364, 700, 15, 546 on a calculator?

You can find the GCD of 364, 700, 15, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.