GCD of 396, 840, 471, 732 Calculator

Given Input numbers are 396, 840, 471, 732

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (396, 840, 471, 732) = 3.

Given numbers are 396, 840, 471, 732

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 471 are 3 x 157

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 396, 840, 471, 732 is 3.

Given numbers are 396, 840, 471, 732

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

Apply this formula for all numbers.

Step1:

LCM(396, 840) = 27720

GCD(396, 840) = ( 396 x 840 ) / 27720

= 396 / 840

= 396

Step2:

LCM(12, 471) = 1884

GCD(12, 471) = ( 12 x 471 ) / 1884

= 12 / 471

= 12

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 396, 840, 471, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 780, 284, 358
• GCD of 339, 657, 589, 780
• GCD of 454, 240, 926, 253
• GCD of 535, 544, 754, 265
• GCD of 329, 104, 707, 220

Given numbers are 396, 840, 471, 732
The greatest common divisor of numbers 396, 840, 471, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 840, 471, 732 is 3.

1. What is the GCD of 396, 840, 471, 732?

GCD of given numbers 396, 840, 471, 732 is 3

2. How to calculate the greatest common divisor of 396, 840, 471, 732?

We can find the highest common divisor of 396, 840, 471, 732 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 396, 840, 471, 732 i.e 3.

3. How can I use the GCD of 396, 840, 471, 732Calculator?

Out the numbers 396, 840, 471, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.