GCD of 750, 225, 977, 705 Calculator

Given Input numbers are 750, 225, 977, 705

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 977

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

1, 977

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 750, 225, 977, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 225, 977, 705 is 1.

Therefore, GCD of numbers 750, 225, 977, 705 is 1

Given Input Data is 750, 225, 977, 705

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 977 is 977

Prime Factorization of 705 is 3 x 5 x 47

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, 225) = 2250

GCD(750, 225) = ( 750 x 225 ) / 2250

GCD(750, 225) = 168750 / 2250

GCD(750, 225) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 977

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

LCM(75, 977) = 73275

GCD(75, 977) = ( 75 x 977 ) / 73275

GCD(75, 977) = 73275 / 73275

GCD(75, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 750, 225, 977, 705 is 1

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• GCD of 382, 739, 944, 601

1. What is the GCD of 750, 225, 977, 705?

GCD of 750, 225, 977, 705 is 1

2. Where do I get the detailed procedure to find GCD of 750, 225, 977, 705?

You can find a detailed procedure to find GCD of 750, 225, 977, 705 on our page.

3. How to find GCD of 750, 225, 977, 705 on a calculator?

You can find the GCD of 750, 225, 977, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.