GCD of 699, 562, 137, 144 Calculator

Given Input numbers are 699, 562, 137, 144

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 699, 562, 137, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 562, 137, 144 is 1.

Therefore, GCD of numbers 699, 562, 137, 144 is 1

Given Input Data is 699, 562, 137, 144

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 562 is 2 x 281

Prime Factorization of 137 is 137

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(699, 562) = 392838

GCD(699, 562) = ( 699 x 562 ) / 392838

GCD(699, 562) = 392838 / 392838

GCD(699, 562) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 699, 562, 137, 144 is 1

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1. What is the GCD of 699, 562, 137, 144?

GCD of 699, 562, 137, 144 is 1

2. Where do I get the detailed procedure to find GCD of 699, 562, 137, 144?

You can find a detailed procedure to find GCD of 699, 562, 137, 144 on our page.

3. How to find GCD of 699, 562, 137, 144 on a calculator?

You can find the GCD of 699, 562, 137, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.