GCD of 987, 726, 70, 824 Calculator

Given Input numbers are 987, 726, 70, 824

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 987, 726, 70, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 726, 70, 824 is 1.

Therefore, GCD of numbers 987, 726, 70, 824 is 1

Given Input Data is 987, 726, 70, 824

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(987, 726) = 238854

GCD(987, 726) = ( 987 x 726 ) / 238854

GCD(987, 726) = 716562 / 238854

GCD(987, 726) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 70

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

LCM(3, 70) = 210

GCD(3, 70) = ( 3 x 70 ) / 210

GCD(3, 70) = 210 / 210

GCD(3, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 987, 726, 70, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 461, 36, 488
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• GCD of 421, 703, 97, 288

1. What is the GCD of 987, 726, 70, 824?

GCD of 987, 726, 70, 824 is 1

2. Where do I get the detailed procedure to find GCD of 987, 726, 70, 824?

You can find a detailed procedure to find GCD of 987, 726, 70, 824 on our page.

3. How to find GCD of 987, 726, 70, 824 on a calculator?

You can find the GCD of 987, 726, 70, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.