GCD of 189, 264, 456, 614 Calculator

Given Input numbers are 189, 264, 456, 614

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (189, 264, 456, 614) = 1.

Given numbers are 189, 264, 456, 614

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 614 are 2 x 307

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 189, 264, 456, 614

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

Apply this formula for all numbers.

Step1:

LCM(189, 264) = 16632

GCD(189, 264) = ( 189 x 264 ) / 16632

= 189 / 264

= 189

Step2:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

Step3:

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

= 3 / 614

= 3

So, Greatest Common Divisor of 189, 264, 456, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 782, 614, 585
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• GCD of 879, 827, 147, 461
• GCD of 399, 171, 942, 529
• GCD of 815, 955, 535, 257

Given numbers are 189, 264, 456, 614
The greatest common divisor of numbers 189, 264, 456, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 264, 456, 614 is 1.

1. What is the GCD of 189, 264, 456, 614?

GCD of given numbers 189, 264, 456, 614 is 1

2. How to calculate the greatest common divisor of 189, 264, 456, 614?

We can find the highest common divisor of 189, 264, 456, 614 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 189, 264, 456, 614 i.e 1.

3. How can I use the GCD of 189, 264, 456, 614Calculator?

Out the numbers 189, 264, 456, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.