GCD of 847, 497, 420, 750 Calculator

Given Input numbers are 847, 497, 420, 750

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

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 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

Greatest Common Divisior

We found the divisors of 847, 497, 420, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 497, 420, 750 is 1.

Therefore, GCD of numbers 847, 497, 420, 750 is 1

Given Input Data is 847, 497, 420, 750

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 497 is 7 x 71

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

Prime Factorization of 750 is 2 x 3 x 5 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(847, 497) = 60137

GCD(847, 497) = ( 847 x 497 ) / 60137

GCD(847, 497) = 420959 / 60137

GCD(847, 497) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 420

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

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

GCD(7, 420) = 2940 / 420

GCD(7, 420) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 750

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

LCM(7, 750) = 5250

GCD(7, 750) = ( 7 x 750 ) / 5250

GCD(7, 750) = 5250 / 5250

GCD(7, 750) = 1

GCD of 847, 497, 420, 750 is 1

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1. What is the GCD of 847, 497, 420, 750?

GCD of 847, 497, 420, 750 is 1

2. Where do I get the detailed procedure to find GCD of 847, 497, 420, 750?

You can find a detailed procedure to find GCD of 847, 497, 420, 750 on our page.

3. How to find GCD of 847, 497, 420, 750 on a calculator?

You can find the GCD of 847, 497, 420, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.