GCD of 297, 675, 375, 705 Calculator

Given Input numbers are 297, 675, 375, 705

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (297, 675, 375, 705) = 3.

Given numbers are 297, 675, 375, 705

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 297, 675, 375, 705 is 3.

Given numbers are 297, 675, 375, 705

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

Apply this formula for all numbers.

Step1:

LCM(297, 675) = 7425

GCD(297, 675) = ( 297 x 675 ) / 7425

= 297 / 675

= 297

Step2:

LCM(27, 375) = 3375

GCD(27, 375) = ( 27 x 375 ) / 3375

= 27 / 375

= 27

Step3:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 297, 675, 375, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 265, 872, 147
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• GCD of 790, 888, 535, 622

Given numbers are 297, 675, 375, 705
The greatest common divisor of numbers 297, 675, 375, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 675, 375, 705 is 3.

1. What is the GCD of 297, 675, 375, 705?

GCD of given numbers 297, 675, 375, 705 is 3

2. How to calculate the greatest common divisor of 297, 675, 375, 705?

We can find the highest common divisor of 297, 675, 375, 705 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 297, 675, 375, 705 i.e 3.

3. How can I use the GCD of 297, 675, 375, 705Calculator?

Out the numbers 297, 675, 375, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.