GCD of 675, 972, 714, 225 Calculator

Given Input numbers are 675, 972, 714, 225

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (675, 972, 714, 225) = 3.

Given numbers are 675, 972, 714, 225

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 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 675, 972, 714, 225 is 3.

Given numbers are 675, 972, 714, 225

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

Apply this formula for all numbers.

Step1:

LCM(675, 972) = 24300

GCD(675, 972) = ( 675 x 972 ) / 24300

= 675 / 972

= 675

Step2:

LCM(27, 714) = 6426

GCD(27, 714) = ( 27 x 714 ) / 6426

= 27 / 714

= 27

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 675, 972, 714, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 952, 970, 695
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• GCD of 894, 662, 143, 292
• GCD of 875, 786, 523, 933

Given numbers are 675, 972, 714, 225
The greatest common divisor of numbers 675, 972, 714, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 972, 714, 225 is 3.

1. What is the GCD of 675, 972, 714, 225?

GCD of given numbers 675, 972, 714, 225 is 3

2. How to calculate the greatest common divisor of 675, 972, 714, 225?

We can find the highest common divisor of 675, 972, 714, 225 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, 972, 714, 225 i.e 3.

3. How can I use the GCD of 675, 972, 714, 225Calculator?

Out the numbers 675, 972, 714, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.