GCD of 984, 578, 750, 769 Calculator

Given Input numbers are 984, 578, 750, 769

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 984, 578, 750, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 578, 750, 769 is 1.

Therefore, GCD of numbers 984, 578, 750, 769 is 1

Given Input Data is 984, 578, 750, 769

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 578 is 2 x 17 x 17

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

Prime Factorization of 769 is 769

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(984, 578) = 284376

GCD(984, 578) = ( 984 x 578 ) / 284376

GCD(984, 578) = 568752 / 284376

GCD(984, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 984, 578, 750, 769 is 1

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1. What is the GCD of 984, 578, 750, 769?

GCD of 984, 578, 750, 769 is 1

2. Where do I get the detailed procedure to find GCD of 984, 578, 750, 769?

You can find a detailed procedure to find GCD of 984, 578, 750, 769 on our page.

3. How to find GCD of 984, 578, 750, 769 on a calculator?

You can find the GCD of 984, 578, 750, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.