GCD of 144, 695, 977, 688 Calculator

Given Input numbers are 144, 695, 977, 688

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

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 144, 695, 977, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 695, 977, 688 is 1.

Therefore, GCD of numbers 144, 695, 977, 688 is 1

Given Input Data is 144, 695, 977, 688

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

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 977 is 977

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(144, 695) = 100080

GCD(144, 695) = ( 144 x 695 ) / 100080

GCD(144, 695) = 100080 / 100080

GCD(144, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 144, 695, 977, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 126, 635, 327
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• GCD of 450, 830, 148, 832

1. What is the GCD of 144, 695, 977, 688?

GCD of 144, 695, 977, 688 is 1

2. Where do I get the detailed procedure to find GCD of 144, 695, 977, 688?

You can find a detailed procedure to find GCD of 144, 695, 977, 688 on our page.

3. How to find GCD of 144, 695, 977, 688 on a calculator?

You can find the GCD of 144, 695, 977, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.