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GCD of 839, 980, 16, 553 Calculator

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


Online GCD Calculator is useful to find the GCD of 839, 980, 16, 553 quickly. Get the easiest ways to solve the greatest common divisor of 839, 980, 16, 553 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 839, 980, 16, 553 with Factoring?

Given Input numbers are 839, 980, 16, 553

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

Divisors of 839 :

The positive integer divisors of 839 that completely divides 839 are.

1, 839

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553


GCD of numbers is the greatest common divisor

So, the GCD (839, 980, 16, 553) = 1.

Find GCD of 839, 980, 16, 553 using Prime Factorization

Given numbers are 839, 980, 16, 553

The list of prime factors of all numbers are

Prime factors of 839 are 839

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 553 are 7 x 79

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

Steps to Calculate GCD of 839, 980, 16, 553 using LCM Formula

Given numbers are 839, 980, 16, 553

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

Apply this formula for all numbers.

Step1:

LCM(839, 980) = 822220

GCD(839, 980) = ( 839 x 980 ) / 822220

= 839 / 980

= 839


Step2:

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

= 1 / 16

= 1


Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1


So, Greatest Common Divisor of 839, 980, 16, 553 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 839, 980, 16, 553

Given numbers are 839, 980, 16, 553
The greatest common divisor of numbers 839, 980, 16, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 839, 980, 16, 553 is 1.

FAQs on GCD of 839, 980, 16, 553 Calculator

1. What is the GCD of 839, 980, 16, 553?

GCD of given numbers 839, 980, 16, 553 is 1


2. How to calculate the greatest common divisor of 839, 980, 16, 553?

We can find the highest common divisor of 839, 980, 16, 553 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 839, 980, 16, 553 i.e 1.


3. How can I use the GCD of 839, 980, 16, 553Calculator?

Out the numbers 839, 980, 16, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.