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GCD of 755, 687, 694, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 755, 687, 694, 382 quickly. Get the easiest ways to solve the greatest common divisor of 755, 687, 694, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 755, 687, 694, 382 with Factoring?

Given Input numbers are 755, 687, 694, 382

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

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (755, 687, 694, 382) = 1.

Find GCD of 755, 687, 694, 382 using Prime Factorization

Given numbers are 755, 687, 694, 382

The list of prime factors of all numbers are

Prime factors of 755 are 5 x 151

Prime factors of 687 are 3 x 229

Prime factors of 694 are 2 x 347

Prime factors of 382 are 2 x 191

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

Steps to Calculate GCD of 755, 687, 694, 382 using LCM Formula

Given numbers are 755, 687, 694, 382

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

Apply this formula for all numbers.

Step1:

LCM(755, 687) = 518685

GCD(755, 687) = ( 755 x 687 ) / 518685

= 755 / 687

= 755


Step2:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1


Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


So, Greatest Common Divisor of 755, 687, 694, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 755, 687, 694, 382

Given numbers are 755, 687, 694, 382
The greatest common divisor of numbers 755, 687, 694, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 687, 694, 382 is 1.

FAQs on GCD of 755, 687, 694, 382 Calculator

1. What is the GCD of 755, 687, 694, 382?

GCD of given numbers 755, 687, 694, 382 is 1


2. How to calculate the greatest common divisor of 755, 687, 694, 382?

We can find the highest common divisor of 755, 687, 694, 382 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 755, 687, 694, 382 i.e 1.


3. How can I use the GCD of 755, 687, 694, 382Calculator?

Out the numbers 755, 687, 694, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.