GCD of 436, 974, 761, 224 Calculator

Given Input numbers are 436, 974, 761, 224

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

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 436, 974, 761, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 974, 761, 224 is 1.

Therefore, GCD of numbers 436, 974, 761, 224 is 1

Given Input Data is 436, 974, 761, 224

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 974 is 2 x 487

Prime Factorization of 761 is 761

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

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(436, 974) = 212332

GCD(436, 974) = ( 436 x 974 ) / 212332

GCD(436, 974) = 424664 / 212332

GCD(436, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 224

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

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

GCD(1, 224) = 224 / 224

GCD(1, 224) = 1

GCD of 436, 974, 761, 224 is 1

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1. What is the GCD of 436, 974, 761, 224?

GCD of 436, 974, 761, 224 is 1

2. Where do I get the detailed procedure to find GCD of 436, 974, 761, 224?

You can find a detailed procedure to find GCD of 436, 974, 761, 224 on our page.

3. How to find GCD of 436, 974, 761, 224 on a calculator?

You can find the GCD of 436, 974, 761, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.