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GCD of 565, 762, 699, 238 Calculator

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


Online GCD Calculator is useful to find the GCD of 565, 762, 699, 238 quickly. Get the easiest ways to solve the greatest common divisor of 565, 762, 699, 238 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 565, 762, 699, 238 with Factoring?

Given Input numbers are 565, 762, 699, 238

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (565, 762, 699, 238) = 1.

Find GCD of 565, 762, 699, 238 using Prime Factorization

Given numbers are 565, 762, 699, 238

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 762 are 2 x 3 x 127

Prime factors of 699 are 3 x 233

Prime factors of 238 are 2 x 7 x 17

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

Steps to Calculate GCD of 565, 762, 699, 238 using LCM Formula

Given numbers are 565, 762, 699, 238

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

Apply this formula for all numbers.

Step1:

LCM(565, 762) = 430530

GCD(565, 762) = ( 565 x 762 ) / 430530

= 565 / 762

= 565


Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1


So, Greatest Common Divisor of 565, 762, 699, 238 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 565, 762, 699, 238

Given numbers are 565, 762, 699, 238
The greatest common divisor of numbers 565, 762, 699, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 762, 699, 238 is 1.

FAQs on GCD of 565, 762, 699, 238 Calculator

1. What is the GCD of 565, 762, 699, 238?

GCD of given numbers 565, 762, 699, 238 is 1


2. How to calculate the greatest common divisor of 565, 762, 699, 238?

We can find the highest common divisor of 565, 762, 699, 238 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 565, 762, 699, 238 i.e 1.


3. How can I use the GCD of 565, 762, 699, 238Calculator?

Out the numbers 565, 762, 699, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.