GCD of 750, 153, 704, 332 Calculator

Given Input numbers are 750, 153, 704, 332

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

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 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 750, 153, 704, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 153, 704, 332 is 1.

Therefore, GCD of numbers 750, 153, 704, 332 is 1

Given Input Data is 750, 153, 704, 332

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

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 332 is 2 x 2 x 83

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(750, 153) = 38250

GCD(750, 153) = ( 750 x 153 ) / 38250

GCD(750, 153) = 114750 / 38250

GCD(750, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 332

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

LCM(1, 332) = 332

GCD(1, 332) = ( 1 x 332 ) / 332

GCD(1, 332) = 332 / 332

GCD(1, 332) = 1

GCD of 750, 153, 704, 332 is 1

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• GCD of 185, 543, 635, 588
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1. What is the GCD of 750, 153, 704, 332?

GCD of 750, 153, 704, 332 is 1

2. Where do I get the detailed procedure to find GCD of 750, 153, 704, 332?

You can find a detailed procedure to find GCD of 750, 153, 704, 332 on our page.

3. How to find GCD of 750, 153, 704, 332 on a calculator?

You can find the GCD of 750, 153, 704, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.