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GCD of 766, 242, 248, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 766, 242, 248, 689 quickly. Get the easiest ways to solve the greatest common divisor of 766, 242, 248, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 766, 242, 248, 689 with Factoring?

Given Input numbers are 766, 242, 248, 689

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (766, 242, 248, 689) = 1.

Find GCD of 766, 242, 248, 689 using Prime Factorization

Given numbers are 766, 242, 248, 689

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 242 are 2 x 11 x 11

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 766, 242, 248, 689 using LCM Formula

Given numbers are 766, 242, 248, 689

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

Apply this formula for all numbers.

Step1:

LCM(766, 242) = 92686

GCD(766, 242) = ( 766 x 242 ) / 92686

= 766 / 242

= 766


Step2:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2


Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2


So, Greatest Common Divisor of 766, 242, 248, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 766, 242, 248, 689

Given numbers are 766, 242, 248, 689
The greatest common divisor of numbers 766, 242, 248, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 242, 248, 689 is 1.

FAQs on GCD of 766, 242, 248, 689 Calculator

1. What is the GCD of 766, 242, 248, 689?

GCD of given numbers 766, 242, 248, 689 is 1


2. How to calculate the greatest common divisor of 766, 242, 248, 689?

We can find the highest common divisor of 766, 242, 248, 689 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 766, 242, 248, 689 i.e 1.


3. How can I use the GCD of 766, 242, 248, 689Calculator?

Out the numbers 766, 242, 248, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.