GCD of 991, 715, 84, 420 Calculator

Given Input numbers are 991, 715, 84, 420

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

Greatest Common Divisior

We found the divisors of 991, 715, 84, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 715, 84, 420 is 1.

Therefore, GCD of numbers 991, 715, 84, 420 is 1

Given Input Data is 991, 715, 84, 420

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

Prime Factorization of 991 is 991

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(991, 715) = 708565

GCD(991, 715) = ( 991 x 715 ) / 708565

GCD(991, 715) = 708565 / 708565

GCD(991, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

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

GCD of 991, 715, 84, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 599, 71, 921
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• GCD of 578, 882, 54, 581
• GCD of 950, 297, 38, 883
• GCD of 911, 119, 95, 354

1. What is the GCD of 991, 715, 84, 420?

GCD of 991, 715, 84, 420 is 1

2. Where do I get the detailed procedure to find GCD of 991, 715, 84, 420?

You can find a detailed procedure to find GCD of 991, 715, 84, 420 on our page.

3. How to find GCD of 991, 715, 84, 420 on a calculator?

You can find the GCD of 991, 715, 84, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.