GCD of 740, 977, 516, 200 Calculator

Given Input numbers are 740, 977, 516, 200

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 977

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

1, 977

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 740, 977, 516, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 977, 516, 200 is 1.

Therefore, GCD of numbers 740, 977, 516, 200 is 1

Given Input Data is 740, 977, 516, 200

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 977 is 977

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 200 is 2 x 2 x 2 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(740, 977) = 722980

GCD(740, 977) = ( 740 x 977 ) / 722980

GCD(740, 977) = 722980 / 722980

GCD(740, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 740, 977, 516, 200 is 1

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1. What is the GCD of 740, 977, 516, 200?

GCD of 740, 977, 516, 200 is 1

2. Where do I get the detailed procedure to find GCD of 740, 977, 516, 200?

You can find a detailed procedure to find GCD of 740, 977, 516, 200 on our page.

3. How to find GCD of 740, 977, 516, 200 on a calculator?

You can find the GCD of 740, 977, 516, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.