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GCD of 834, 690, 360, 503 Calculator

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


Online GCD Calculator is useful to find the GCD of 834, 690, 360, 503 quickly. Get the easiest ways to solve the greatest common divisor of 834, 690, 360, 503 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 690, 360, 503 with Factoring?

Given Input numbers are 834, 690, 360, 503

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503


GCD of numbers is the greatest common divisor

So, the GCD (834, 690, 360, 503) = 1.

Find GCD of 834, 690, 360, 503 using Prime Factorization

Given numbers are 834, 690, 360, 503

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 503 are 503

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

Steps to Calculate GCD of 834, 690, 360, 503 using LCM Formula

Given numbers are 834, 690, 360, 503

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

Apply this formula for all numbers.

Step1:

LCM(834, 690) = 95910

GCD(834, 690) = ( 834 x 690 ) / 95910

= 834 / 690

= 834


Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6


Step3:

LCM(6, 503) = 3018

GCD(6, 503) = ( 6 x 503 ) / 3018

= 6 / 503

= 6


So, Greatest Common Divisor of 834, 690, 360, 503 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 690, 360, 503

Given numbers are 834, 690, 360, 503
The greatest common divisor of numbers 834, 690, 360, 503 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 690, 360, 503 is 1.

FAQs on GCD of 834, 690, 360, 503 Calculator

1. What is the GCD of 834, 690, 360, 503?

GCD of given numbers 834, 690, 360, 503 is 1


2. How to calculate the greatest common divisor of 834, 690, 360, 503?

We can find the highest common divisor of 834, 690, 360, 503 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 834, 690, 360, 503 i.e 1.


3. How can I use the GCD of 834, 690, 360, 503Calculator?

Out the numbers 834, 690, 360, 503 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.