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GCD of 175, 679, 492, 493 Calculator

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


Online GCD Calculator is useful to find the GCD of 175, 679, 492, 493 quickly. Get the easiest ways to solve the greatest common divisor of 175, 679, 492, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 175, 679, 492, 493 with Factoring?

Given Input numbers are 175, 679, 492, 493

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493


GCD of numbers is the greatest common divisor

So, the GCD (175, 679, 492, 493) = 1.

Find GCD of 175, 679, 492, 493 using Prime Factorization

Given numbers are 175, 679, 492, 493

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 679 are 7 x 97

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 493 are 17 x 29

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

Steps to Calculate GCD of 175, 679, 492, 493 using LCM Formula

Given numbers are 175, 679, 492, 493

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

Apply this formula for all numbers.

Step1:

LCM(175, 679) = 16975

GCD(175, 679) = ( 175 x 679 ) / 16975

= 175 / 679

= 175


Step2:

LCM(7, 492) = 3444

GCD(7, 492) = ( 7 x 492 ) / 3444

= 7 / 492

= 7


Step3:

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

= 1 / 493

= 1


So, Greatest Common Divisor of 175, 679, 492, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 175, 679, 492, 493

Given numbers are 175, 679, 492, 493
The greatest common divisor of numbers 175, 679, 492, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 679, 492, 493 is 1.

FAQs on GCD of 175, 679, 492, 493 Calculator

1. What is the GCD of 175, 679, 492, 493?

GCD of given numbers 175, 679, 492, 493 is 1


2. How to calculate the greatest common divisor of 175, 679, 492, 493?

We can find the highest common divisor of 175, 679, 492, 493 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 175, 679, 492, 493 i.e 1.


3. How can I use the GCD of 175, 679, 492, 493Calculator?

Out the numbers 175, 679, 492, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.