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GCD of 495, 701, 969, 829 Calculator

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


Online GCD Calculator is useful to find the GCD of 495, 701, 969, 829 quickly. Get the easiest ways to solve the greatest common divisor of 495, 701, 969, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 495, 701, 969, 829 with Factoring?

Given Input numbers are 495, 701, 969, 829

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (495, 701, 969, 829) = 1.

Find GCD of 495, 701, 969, 829 using Prime Factorization

Given numbers are 495, 701, 969, 829

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 701 are 701

Prime factors of 969 are 3 x 17 x 19

Prime factors of 829 are 829

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

Steps to Calculate GCD of 495, 701, 969, 829 using LCM Formula

Given numbers are 495, 701, 969, 829

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

Apply this formula for all numbers.

Step1:

LCM(495, 701) = 346995

GCD(495, 701) = ( 495 x 701 ) / 346995

= 495 / 701

= 495


Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1


Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


So, Greatest Common Divisor of 495, 701, 969, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 495, 701, 969, 829

Given numbers are 495, 701, 969, 829
The greatest common divisor of numbers 495, 701, 969, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 701, 969, 829 is 1.

FAQs on GCD of 495, 701, 969, 829 Calculator

1. What is the GCD of 495, 701, 969, 829?

GCD of given numbers 495, 701, 969, 829 is 1


2. How to calculate the greatest common divisor of 495, 701, 969, 829?

We can find the highest common divisor of 495, 701, 969, 829 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 495, 701, 969, 829 i.e 1.


3. How can I use the GCD of 495, 701, 969, 829Calculator?

Out the numbers 495, 701, 969, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.