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GCD of 705, 764, 677, 605 Calculator

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


Online GCD Calculator is useful to find the GCD of 705, 764, 677, 605 quickly. Get the easiest ways to solve the greatest common divisor of 705, 764, 677, 605 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 705, 764, 677, 605 with Factoring?

Given Input numbers are 705, 764, 677, 605

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605


GCD of numbers is the greatest common divisor

So, the GCD (705, 764, 677, 605) = 1.

Find GCD of 705, 764, 677, 605 using Prime Factorization

Given numbers are 705, 764, 677, 605

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 764 are 2 x 2 x 191

Prime factors of 677 are 677

Prime factors of 605 are 5 x 11 x 11

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

Steps to Calculate GCD of 705, 764, 677, 605 using LCM Formula

Given numbers are 705, 764, 677, 605

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

Apply this formula for all numbers.

Step1:

LCM(705, 764) = 538620

GCD(705, 764) = ( 705 x 764 ) / 538620

= 705 / 764

= 705


Step2:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1


Step3:

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

= 1 / 605

= 1


So, Greatest Common Divisor of 705, 764, 677, 605 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 705, 764, 677, 605

Given numbers are 705, 764, 677, 605
The greatest common divisor of numbers 705, 764, 677, 605 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 764, 677, 605 is 1.

FAQs on GCD of 705, 764, 677, 605 Calculator

1. What is the GCD of 705, 764, 677, 605?

GCD of given numbers 705, 764, 677, 605 is 1


2. How to calculate the greatest common divisor of 705, 764, 677, 605?

We can find the highest common divisor of 705, 764, 677, 605 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 705, 764, 677, 605 i.e 1.


3. How can I use the GCD of 705, 764, 677, 605Calculator?

Out the numbers 705, 764, 677, 605 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.