GCD of 714, 675, 894, 270 Calculator

Given Input numbers are 714, 675, 894, 270

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 (714, 675, 894, 270) = 3.

Given numbers are 714, 675, 894, 270

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

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

Prime factors of 894 are 2 x 3 x 149

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

The highest common occurrence is 3¹

Therefore, GCD of 714, 675, 894, 270 is 3.

Given numbers are 714, 675, 894, 270

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

Apply this formula for all numbers.

Step1:

LCM(714, 675) = 160650

GCD(714, 675) = ( 714 x 675 ) / 160650

= 714 / 675

= 714

Step2:

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

= 3 / 894

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 714, 675, 894, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 158, 171, 603
• GCD of 891, 680, 954, 132
• GCD of 356, 576, 473, 802
• GCD of 402, 338, 727, 358
• GCD of 305, 353, 229, 828

Given numbers are 714, 675, 894, 270
The greatest common divisor of numbers 714, 675, 894, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 675, 894, 270 is 3.

1. What is the GCD of 714, 675, 894, 270?

GCD of given numbers 714, 675, 894, 270 is 3

2. How to calculate the greatest common divisor of 714, 675, 894, 270?

We can find the highest common divisor of 714, 675, 894, 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 714, 675, 894, 270 i.e 3.

3. How can I use the GCD of 714, 675, 894, 270Calculator?

Out the numbers 714, 675, 894, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.