GCD of 852, 804, 540, 672 Calculator

Given Input numbers are 852, 804, 540, 672

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 (852, 804, 540, 672) = 12.

Given numbers are 852, 804, 540, 672

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

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

The highest common occurrence is 2² x 3¹

Therefore, GCD of 852, 804, 540, 672 is 12.

Given numbers are 852, 804, 540, 672

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

Apply this formula for all numbers.

Step1:

LCM(852, 804) = 57084

GCD(852, 804) = ( 852 x 804 ) / 57084

= 852 / 804

= 852

Step2:

LCM(12, 540) = 540

GCD(12, 540) = ( 12 x 540 ) / 540

= 12 / 540

= 12

Step3:

LCM(12, 672) = 672

GCD(12, 672) = ( 12 x 672 ) / 672

= 12 / 672

= 12

So, Greatest Common Divisor of 852, 804, 540, 672 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 228, 951, 262
• GCD of 308, 603, 503, 864
• GCD of 504, 405, 682, 523
• GCD of 120, 302, 600, 288
• GCD of 275, 791, 740, 987

Given numbers are 852, 804, 540, 672
The greatest common divisor of numbers 852, 804, 540, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 804, 540, 672 is 12.

1. What is the GCD of 852, 804, 540, 672?

GCD of given numbers 852, 804, 540, 672 is 12

2. How to calculate the greatest common divisor of 852, 804, 540, 672?

We can find the highest common divisor of 852, 804, 540, 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 852, 804, 540, 672 i.e 12.

3. How can I use the GCD of 852, 804, 540, 672Calculator?

Out the numbers 852, 804, 540, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.