GCD of 456, 261, 183, 672 Calculator

Given Input numbers are 456, 261, 183, 672

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

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (456, 261, 183, 672) = 3.

Given numbers are 456, 261, 183, 672

The list of prime factors of all numbers are

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

Prime factors of 261 are 3 x 3 x 29

Prime factors of 183 are 3 x 61

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 456, 261, 183, 672 is 3.

Given numbers are 456, 261, 183, 672

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

Apply this formula for all numbers.

Step1:

LCM(456, 261) = 39672

GCD(456, 261) = ( 456 x 261 ) / 39672

= 456 / 261

= 456

Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3

Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

So, Greatest Common Divisor of 456, 261, 183, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 937, 382, 268
• GCD of 119, 206, 170, 314
• GCD of 461, 897, 415, 716
• GCD of 773, 243, 552, 883
• GCD of 486, 432, 349, 546

Given numbers are 456, 261, 183, 672
The greatest common divisor of numbers 456, 261, 183, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 261, 183, 672 is 3.

1. What is the GCD of 456, 261, 183, 672?

GCD of given numbers 456, 261, 183, 672 is 3

2. How to calculate the greatest common divisor of 456, 261, 183, 672?

We can find the highest common divisor of 456, 261, 183, 672 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 456, 261, 183, 672 i.e 3.

3. How can I use the GCD of 456, 261, 183, 672Calculator?

Out the numbers 456, 261, 183, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.