GCD of 675, 490, 16 Calculator

Given Input numbers are 675, 490, 16

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

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

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 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (675, 490, 16) = 1.

Given numbers are 675, 490, 16

The list of prime factors of all numbers are

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

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

Prime factors of 16 are 2 x 2 x 2 x 2

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

Given numbers are 675, 490, 16

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

Apply this formula for all numbers.

Step1:

LCM(675, 490) = 66150

GCD(675, 490) = ( 675 x 490 ) / 66150

= 675 / 490

= 675

Step2:

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

= 5 / 16

= 5

So, Greatest Common Divisor of 675, 490, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 443, 68
• GCD of 762, 943, 39
• GCD of 293, 867, 80
• GCD of 287, 102, 10
• GCD of 401, 265, 91

Given numbers are 675, 490, 16
The greatest common divisor of numbers 675, 490, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 490, 16 is 1.

1. What is the GCD of 675, 490, 16?

GCD of given numbers 675, 490, 16 is 1

2. How to calculate the greatest common divisor of 675, 490, 16?

We can find the highest common divisor of 675, 490, 16 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 675, 490, 16 i.e 1.

3. How can I use the GCD of 675, 490, 16Calculator?

Out the numbers 675, 490, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.