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GCD of 672, 689, 574, 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 672, 689, 574, 382 quickly. Get the easiest ways to solve the greatest common divisor of 672, 689, 574, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 689, 574, 382 with Factoring?

Given Input numbers are 672, 689, 574, 382

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (672, 689, 574, 382) = 1.

Find GCD of 672, 689, 574, 382 using Prime Factorization

Given numbers are 672, 689, 574, 382

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 689 are 13 x 53

Prime factors of 574 are 2 x 7 x 41

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 672, 689, 574, 382 using LCM Formula

Given numbers are 672, 689, 574, 382

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

Apply this formula for all numbers.

Step1:

LCM(672, 689) = 463008

GCD(672, 689) = ( 672 x 689 ) / 463008

= 672 / 689

= 672


Step2:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1


Step3:

LCM(1, 382) = 382

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

= 1 / 382

= 1


So, Greatest Common Divisor of 672, 689, 574, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 689, 574, 382

Given numbers are 672, 689, 574, 382
The greatest common divisor of numbers 672, 689, 574, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 689, 574, 382 is 1.

FAQs on GCD of 672, 689, 574, 382 Calculator

1. What is the GCD of 672, 689, 574, 382?

GCD of given numbers 672, 689, 574, 382 is 1


2. How to calculate the greatest common divisor of 672, 689, 574, 382?

We can find the highest common divisor of 672, 689, 574, 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 672, 689, 574, 382 i.e 1.


3. How can I use the GCD of 672, 689, 574, 382Calculator?

Out the numbers 672, 689, 574, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.