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GCD of 493, 965, 269, 937 Calculator

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


Online GCD Calculator is useful to find the GCD of 493, 965, 269, 937 quickly. Get the easiest ways to solve the greatest common divisor of 493, 965, 269, 937 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 493, 965, 269, 937 with Factoring?

Given Input numbers are 493, 965, 269, 937

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 937 :

The positive integer divisors of 937 that completely divides 937 are.

1, 937


GCD of numbers is the greatest common divisor

So, the GCD (493, 965, 269, 937) = 1.

Find GCD of 493, 965, 269, 937 using Prime Factorization

Given numbers are 493, 965, 269, 937

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 965 are 5 x 193

Prime factors of 269 are 269

Prime factors of 937 are 937

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

Steps to Calculate GCD of 493, 965, 269, 937 using LCM Formula

Given numbers are 493, 965, 269, 937

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

Apply this formula for all numbers.

Step1:

LCM(493, 965) = 475745

GCD(493, 965) = ( 493 x 965 ) / 475745

= 493 / 965

= 493


Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1


Step3:

LCM(1, 937) = 937

GCD(1, 937) = ( 1 x 937 ) / 937

= 1 / 937

= 1


So, Greatest Common Divisor of 493, 965, 269, 937 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 493, 965, 269, 937

Given numbers are 493, 965, 269, 937
The greatest common divisor of numbers 493, 965, 269, 937 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 965, 269, 937 is 1.

FAQs on GCD of 493, 965, 269, 937 Calculator

1. What is the GCD of 493, 965, 269, 937?

GCD of given numbers 493, 965, 269, 937 is 1


2. How to calculate the greatest common divisor of 493, 965, 269, 937?

We can find the highest common divisor of 493, 965, 269, 937 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 493, 965, 269, 937 i.e 1.


3. How can I use the GCD of 493, 965, 269, 937Calculator?

Out the numbers 493, 965, 269, 937 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.