GCD of 703, 987, 347, 820 Calculator

Given Input numbers are 703, 987, 347, 820

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 703, 987, 347, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 987, 347, 820 is 1.

Therefore, GCD of numbers 703, 987, 347, 820 is 1

Given Input Data is 703, 987, 347, 820

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 347 is 347

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(703, 987) = 693861

GCD(703, 987) = ( 703 x 987 ) / 693861

GCD(703, 987) = 693861 / 693861

GCD(703, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 703, 987, 347, 820 is 1

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1. What is the GCD of 703, 987, 347, 820?

GCD of 703, 987, 347, 820 is 1

2. Where do I get the detailed procedure to find GCD of 703, 987, 347, 820?

You can find a detailed procedure to find GCD of 703, 987, 347, 820 on our page.

3. How to find GCD of 703, 987, 347, 820 on a calculator?

You can find the GCD of 703, 987, 347, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.