GCD of 738, 171, 372, 672 Calculator

Given Input numbers are 738, 171, 372, 672

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 (738, 171, 372, 672) = 3.

Given numbers are 738, 171, 372, 672

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 171 are 3 x 3 x 19

Prime factors of 372 are 2 x 2 x 3 x 31

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 738, 171, 372, 672 is 3.

Given numbers are 738, 171, 372, 672

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

Apply this formula for all numbers.

Step1:

LCM(738, 171) = 14022

GCD(738, 171) = ( 738 x 171 ) / 14022

= 738 / 171

= 738

Step2:

LCM(9, 372) = 1116

GCD(9, 372) = ( 9 x 372 ) / 1116

= 9 / 372

= 9

Step3:

LCM(3, 672) = 672

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

= 3 / 672

= 3

So, Greatest Common Divisor of 738, 171, 372, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 304, 670, 516
• GCD of 544, 203, 569, 466
• GCD of 275, 729, 127, 188
• GCD of 194, 482, 470, 984
• GCD of 519, 431, 943, 357

Given numbers are 738, 171, 372, 672
The greatest common divisor of numbers 738, 171, 372, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 171, 372, 672 is 3.

1. What is the GCD of 738, 171, 372, 672?

GCD of given numbers 738, 171, 372, 672 is 3

2. How to calculate the greatest common divisor of 738, 171, 372, 672?

We can find the highest common divisor of 738, 171, 372, 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 738, 171, 372, 672 i.e 3.

3. How can I use the GCD of 738, 171, 372, 672Calculator?

Out the numbers 738, 171, 372, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.