GCD of 149, 504, 84, 706 Calculator

Given Input numbers are 149, 504, 84, 706

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 149, 504, 84, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 504, 84, 706 is 1.

Therefore, GCD of numbers 149, 504, 84, 706 is 1

Given Input Data is 149, 504, 84, 706

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

Prime Factorization of 149 is 149

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 706 is 2 x 353

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(149, 504) = 75096

GCD(149, 504) = ( 149 x 504 ) / 75096

GCD(149, 504) = 75096 / 75096

GCD(149, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 149, 504, 84, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 582, 18, 471
• GCD of 299, 224, 64, 929
• GCD of 847, 267, 36, 339
• GCD of 774, 509, 39, 359
• GCD of 401, 151, 13, 453

1. What is the GCD of 149, 504, 84, 706?

GCD of 149, 504, 84, 706 is 1

2. Where do I get the detailed procedure to find GCD of 149, 504, 84, 706?

You can find a detailed procedure to find GCD of 149, 504, 84, 706 on our page.

3. How to find GCD of 149, 504, 84, 706 on a calculator?

You can find the GCD of 149, 504, 84, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.