GCD of 675, 381, 909, 192 Calculator

Given Input numbers are 675, 381, 909, 192

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

GCD of numbers is the greatest common divisor

So, the GCD (675, 381, 909, 192) = 3.

Given numbers are 675, 381, 909, 192

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 381 are 3 x 127

Prime factors of 909 are 3 x 3 x 101

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 675, 381, 909, 192 is 3.

Given numbers are 675, 381, 909, 192

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

Apply this formula for all numbers.

Step1:

LCM(675, 381) = 85725

GCD(675, 381) = ( 675 x 381 ) / 85725

= 675 / 381

= 675

Step2:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

Step3:

LCM(3, 192) = 192

GCD(3, 192) = ( 3 x 192 ) / 192

= 3 / 192

= 3

So, Greatest Common Divisor of 675, 381, 909, 192 is 3

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• GCD of 406, 449, 430, 532
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Given numbers are 675, 381, 909, 192
The greatest common divisor of numbers 675, 381, 909, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 381, 909, 192 is 3.

1. What is the GCD of 675, 381, 909, 192?

GCD of given numbers 675, 381, 909, 192 is 3

2. How to calculate the greatest common divisor of 675, 381, 909, 192?

We can find the highest common divisor of 675, 381, 909, 192 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, 381, 909, 192 i.e 3.

3. How can I use the GCD of 675, 381, 909, 192Calculator?

Out the numbers 675, 381, 909, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.