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GCD of 989, 854, 478, 684 Calculator

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


Online GCD Calculator is useful to find the GCD of 989, 854, 478, 684 quickly. Get the easiest ways to solve the greatest common divisor of 989, 854, 478, 684 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 989, 854, 478, 684 with Factoring?

Given Input numbers are 989, 854, 478, 684

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684


GCD of numbers is the greatest common divisor

So, the GCD (989, 854, 478, 684) = 1.

Find GCD of 989, 854, 478, 684 using Prime Factorization

Given numbers are 989, 854, 478, 684

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 854 are 2 x 7 x 61

Prime factors of 478 are 2 x 239

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 989, 854, 478, 684 using LCM Formula

Given numbers are 989, 854, 478, 684

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

Apply this formula for all numbers.

Step1:

LCM(989, 854) = 844606

GCD(989, 854) = ( 989 x 854 ) / 844606

= 989 / 854

= 989


Step2:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1


Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1


So, Greatest Common Divisor of 989, 854, 478, 684 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 989, 854, 478, 684

Given numbers are 989, 854, 478, 684
The greatest common divisor of numbers 989, 854, 478, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 854, 478, 684 is 1.

FAQs on GCD of 989, 854, 478, 684 Calculator

1. What is the GCD of 989, 854, 478, 684?

GCD of given numbers 989, 854, 478, 684 is 1


2. How to calculate the greatest common divisor of 989, 854, 478, 684?

We can find the highest common divisor of 989, 854, 478, 684 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 989, 854, 478, 684 i.e 1.


3. How can I use the GCD of 989, 854, 478, 684Calculator?

Out the numbers 989, 854, 478, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.