GCD of 672, 408, 441, 747 Calculator

Given Input numbers are 672, 408, 441, 747

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (672, 408, 441, 747) = 3.

Given numbers are 672, 408, 441, 747

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 672, 408, 441, 747 is 3.

Given numbers are 672, 408, 441, 747

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

Apply this formula for all numbers.

Step1:

LCM(672, 408) = 11424

GCD(672, 408) = ( 672 x 408 ) / 11424

= 672 / 408

= 672

Step2:

LCM(24, 441) = 3528

GCD(24, 441) = ( 24 x 441 ) / 3528

= 24 / 441

= 24

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 672, 408, 441, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 815, 387, 587
• GCD of 118, 755, 913, 427
• GCD of 173, 919, 841, 653
• GCD of 453, 956, 607, 825
• GCD of 328, 999, 551, 949

Given numbers are 672, 408, 441, 747
The greatest common divisor of numbers 672, 408, 441, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 408, 441, 747 is 3.

1. What is the GCD of 672, 408, 441, 747?

GCD of given numbers 672, 408, 441, 747 is 3

2. How to calculate the greatest common divisor of 672, 408, 441, 747?

We can find the highest common divisor of 672, 408, 441, 747 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 672, 408, 441, 747 i.e 3.

3. How can I use the GCD of 672, 408, 441, 747Calculator?

Out the numbers 672, 408, 441, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.