GCD of 126, 675, 270 Calculator

Given Input numbers are 126, 675, 270

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (126, 675, 270) = 9.

Given numbers are 126, 675, 270

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

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

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3²

Therefore, GCD of 126, 675, 270 is 9.

Given numbers are 126, 675, 270

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

Apply this formula for all numbers.

Step1:

LCM(126, 675) = 9450

GCD(126, 675) = ( 126 x 675 ) / 9450

= 126 / 675

= 126

Step2:

LCM(9, 270) = 270

GCD(9, 270) = ( 9 x 270 ) / 270

= 9 / 270

= 9

So, Greatest Common Divisor of 126, 675, 270 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 174, 954
• GCD of 653, 948, 654
• GCD of 194, 422, 895
• GCD of 698, 656, 349
• GCD of 519, 116, 325

Given numbers are 126, 675, 270
The greatest common divisor of numbers 126, 675, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 675, 270 is 9.

1. What is the GCD of 126, 675, 270?

GCD of given numbers 126, 675, 270 is 9

2. How to calculate the greatest common divisor of 126, 675, 270?

We can find the highest common divisor of 126, 675, 270 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 126, 675, 270 i.e 9.

3. How can I use the GCD of 126, 675, 270Calculator?

Out the numbers 126, 675, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.