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GCD of 987, 703, 904, 217 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 987, 703, 904, 217 quickly. Get the easiest ways to solve the greatest common divisor of 987, 703, 904, 217 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 703, 904, 217 with Factoring?

Given Input numbers are 987, 703, 904, 217

In the factoring method, we have to find the divisors of all numbers

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

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

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217


GCD of numbers is the greatest common divisor

So, the GCD (987, 703, 904, 217) = 1.

Find GCD of 987, 703, 904, 217 using Prime Factorization

Given numbers are 987, 703, 904, 217

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 703 are 19 x 37

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 217 are 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 987, 703, 904, 217 using LCM Formula

Given numbers are 987, 703, 904, 217

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(987, 703) = 693861

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

= 987 / 703

= 987


Step2:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1


Step3:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1


So, Greatest Common Divisor of 987, 703, 904, 217 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 703, 904, 217

Given numbers are 987, 703, 904, 217
The greatest common divisor of numbers 987, 703, 904, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 703, 904, 217 is 1.

FAQs on GCD of 987, 703, 904, 217 Calculator

1. What is the GCD of 987, 703, 904, 217?

GCD of given numbers 987, 703, 904, 217 is 1


2. How to calculate the greatest common divisor of 987, 703, 904, 217?

We can find the highest common divisor of 987, 703, 904, 217 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 987, 703, 904, 217 i.e 1.


3. How can I use the GCD of 987, 703, 904, 217Calculator?

Out the numbers 987, 703, 904, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.