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GCD of 269, 150, 685, 492 Calculator

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


Online GCD Calculator is useful to find the GCD of 269, 150, 685, 492 quickly. Get the easiest ways to solve the greatest common divisor of 269, 150, 685, 492 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 269, 150, 685, 492 with Factoring?

Given Input numbers are 269, 150, 685, 492

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

Divisors of 269 :

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

1, 269

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492


GCD of numbers is the greatest common divisor

So, the GCD (269, 150, 685, 492) = 1.

Find GCD of 269, 150, 685, 492 using Prime Factorization

Given numbers are 269, 150, 685, 492

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 685 are 5 x 137

Prime factors of 492 are 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 269, 150, 685, 492 using LCM Formula

Given numbers are 269, 150, 685, 492

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

Apply this formula for all numbers.

Step1:

LCM(269, 150) = 40350

GCD(269, 150) = ( 269 x 150 ) / 40350

= 269 / 150

= 269


Step2:

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

= 1 / 685

= 1


Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


So, Greatest Common Divisor of 269, 150, 685, 492 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 269, 150, 685, 492

Given numbers are 269, 150, 685, 492
The greatest common divisor of numbers 269, 150, 685, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 150, 685, 492 is 1.

FAQs on GCD of 269, 150, 685, 492 Calculator

1. What is the GCD of 269, 150, 685, 492?

GCD of given numbers 269, 150, 685, 492 is 1


2. How to calculate the greatest common divisor of 269, 150, 685, 492?

We can find the highest common divisor of 269, 150, 685, 492 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 269, 150, 685, 492 i.e 1.


3. How can I use the GCD of 269, 150, 685, 492Calculator?

Out the numbers 269, 150, 685, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.