GCD of 472, 952, 72, 838 Calculator

Given Input numbers are 472, 952, 72, 838

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (472, 952, 72, 838) = 2.

Given numbers are 472, 952, 72, 838

The list of prime factors of all numbers are

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

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 472, 952, 72, 838 is 2.

Given numbers are 472, 952, 72, 838

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

Apply this formula for all numbers.

Step1:

LCM(472, 952) = 56168

GCD(472, 952) = ( 472 x 952 ) / 56168

= 472 / 952

= 472

Step2:

LCM(8, 72) = 72

GCD(8, 72) = ( 8 x 72 ) / 72

= 8 / 72

= 8

Step3:

LCM(8, 838) = 3352

GCD(8, 838) = ( 8 x 838 ) / 3352

= 8 / 838

= 8

So, Greatest Common Divisor of 472, 952, 72, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 441, 58, 736
• GCD of 868, 406, 52, 523
• GCD of 165, 729, 90, 743
• GCD of 565, 308, 11, 174
• GCD of 347, 101, 52, 945

Given numbers are 472, 952, 72, 838
The greatest common divisor of numbers 472, 952, 72, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 952, 72, 838 is 2.

1. What is the GCD of 472, 952, 72, 838?

GCD of given numbers 472, 952, 72, 838 is 2

2. How to calculate the greatest common divisor of 472, 952, 72, 838?

We can find the highest common divisor of 472, 952, 72, 838 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, 952, 72, 838 i.e 2.

3. How can I use the GCD of 472, 952, 72, 838Calculator?

Out the numbers 472, 952, 72, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.