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GCD of 168, 680, 490, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 168, 680, 490, 675 quickly. Get the easiest ways to solve the greatest common divisor of 168, 680, 490, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 168, 680, 490, 675 with Factoring?

Given Input numbers are 168, 680, 490, 675

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (168, 680, 490, 675) = 1.

Find GCD of 168, 680, 490, 675 using Prime Factorization

Given numbers are 168, 680, 490, 675

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 168, 680, 490, 675 using LCM Formula

Given numbers are 168, 680, 490, 675

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

Apply this formula for all numbers.

Step1:

LCM(168, 680) = 14280

GCD(168, 680) = ( 168 x 680 ) / 14280

= 168 / 680

= 168


Step2:

LCM(8, 490) = 1960

GCD(8, 490) = ( 8 x 490 ) / 1960

= 8 / 490

= 8


Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


So, Greatest Common Divisor of 168, 680, 490, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 168, 680, 490, 675

Given numbers are 168, 680, 490, 675
The greatest common divisor of numbers 168, 680, 490, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 680, 490, 675 is 1.

FAQs on GCD of 168, 680, 490, 675 Calculator

1. What is the GCD of 168, 680, 490, 675?

GCD of given numbers 168, 680, 490, 675 is 1


2. How to calculate the greatest common divisor of 168, 680, 490, 675?

We can find the highest common divisor of 168, 680, 490, 675 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 168, 680, 490, 675 i.e 1.


3. How can I use the GCD of 168, 680, 490, 675Calculator?

Out the numbers 168, 680, 490, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.