GCD of 749, 281, 420, 920 Calculator

Given Input numbers are 749, 281, 420, 920

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 749, 281, 420, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 281, 420, 920 is 1.

Therefore, GCD of numbers 749, 281, 420, 920 is 1

Given Input Data is 749, 281, 420, 920

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 281 is 281

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(749, 281) = 210469

GCD(749, 281) = ( 749 x 281 ) / 210469

GCD(749, 281) = 210469 / 210469

GCD(749, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 749, 281, 420, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 330, 759, 987
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• GCD of 399, 219, 207, 624

1. What is the GCD of 749, 281, 420, 920?

GCD of 749, 281, 420, 920 is 1

2. Where do I get the detailed procedure to find GCD of 749, 281, 420, 920?

You can find a detailed procedure to find GCD of 749, 281, 420, 920 on our page.

3. How to find GCD of 749, 281, 420, 920 on a calculator?

You can find the GCD of 749, 281, 420, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.