GCD of 997, 654, 105, 750 Calculator

Given Input numbers are 997, 654, 105, 750

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 997, 654, 105, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 654, 105, 750 is 1.

Therefore, GCD of numbers 997, 654, 105, 750 is 1

Given Input Data is 997, 654, 105, 750

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

Prime Factorization of 997 is 997

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(997, 654) = 652038

GCD(997, 654) = ( 997 x 654 ) / 652038

GCD(997, 654) = 652038 / 652038

GCD(997, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 997, 654, 105, 750 is 1

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1. What is the GCD of 997, 654, 105, 750?

GCD of 997, 654, 105, 750 is 1

2. Where do I get the detailed procedure to find GCD of 997, 654, 105, 750?

You can find a detailed procedure to find GCD of 997, 654, 105, 750 on our page.

3. How to find GCD of 997, 654, 105, 750 on a calculator?

You can find the GCD of 997, 654, 105, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.