GCD of 472, 728, 840, 984 Calculator

Given Input numbers are 472, 728, 840, 984

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (472, 728, 840, 984) = 8.

Given numbers are 472, 728, 840, 984

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2³

Therefore, GCD of 472, 728, 840, 984 is 8.

Given numbers are 472, 728, 840, 984

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

Apply this formula for all numbers.

Step1:

LCM(472, 728) = 42952

GCD(472, 728) = ( 472 x 728 ) / 42952

= 472 / 728

= 472

Step2:

LCM(8, 840) = 840

GCD(8, 840) = ( 8 x 840 ) / 840

= 8 / 840

= 8

Step3:

LCM(8, 984) = 984

GCD(8, 984) = ( 8 x 984 ) / 984

= 8 / 984

= 8

So, Greatest Common Divisor of 472, 728, 840, 984 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 631, 548, 514
• GCD of 753, 600, 602, 185
• GCD of 471, 271, 787, 317
• GCD of 572, 972, 687, 112
• GCD of 882, 269, 365, 360

Given numbers are 472, 728, 840, 984
The greatest common divisor of numbers 472, 728, 840, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 728, 840, 984 is 8.

1. What is the GCD of 472, 728, 840, 984?

GCD of given numbers 472, 728, 840, 984 is 8

2. How to calculate the greatest common divisor of 472, 728, 840, 984?

We can find the highest common divisor of 472, 728, 840, 984 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 472, 728, 840, 984 i.e 8.

3. How can I use the GCD of 472, 728, 840, 984Calculator?

Out the numbers 472, 728, 840, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.