GCD of 420, 935, 80, 785 Calculator

Given Input numbers are 420, 935, 80, 785

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

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 420, 935, 80, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 935, 80, 785 is 5.

Therefore, GCD of numbers 420, 935, 80, 785 is 5

Given Input Data is 420, 935, 80, 785

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

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 785 is 5 x 157

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(420, 935) = 78540

GCD(420, 935) = ( 420 x 935 ) / 78540

GCD(420, 935) = 392700 / 78540

GCD(420, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 80

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

LCM(5, 80) = 80

GCD(5, 80) = ( 5 x 80 ) / 80

GCD(5, 80) = 400 / 80

GCD(5, 80) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 785

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

LCM(5, 785) = 785

GCD(5, 785) = ( 5 x 785 ) / 785

GCD(5, 785) = 3925 / 785

GCD(5, 785) = 5

GCD of 420, 935, 80, 785 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 883, 12, 423
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• GCD of 439, 956, 31, 387

1. What is the GCD of 420, 935, 80, 785?

GCD of 420, 935, 80, 785 is 5

2. Where do I get the detailed procedure to find GCD of 420, 935, 80, 785?

You can find a detailed procedure to find GCD of 420, 935, 80, 785 on our page.

3. How to find GCD of 420, 935, 80, 785 on a calculator?

You can find the GCD of 420, 935, 80, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.