GCD of 416, 376, 472 Calculator

Given Input numbers are 416, 376, 472

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 472 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (416, 376, 472) = 8.

Given numbers are 416, 376, 472

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 376 are 2 x 2 x 2 x 47

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

The highest common occurrence is 2³

Therefore, GCD of 416, 376, 472 is 8.

Given numbers are 416, 376, 472

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

Apply this formula for all numbers.

Step1:

LCM(416, 376) = 19552

GCD(416, 376) = ( 416 x 376 ) / 19552

= 416 / 376

= 416

Step2:

LCM(8, 472) = 472

GCD(8, 472) = ( 8 x 472 ) / 472

= 8 / 472

= 8

So, Greatest Common Divisor of 416, 376, 472 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 930, 350
• GCD of 624, 599, 196
• GCD of 803, 213, 169
• GCD of 330, 645, 696
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Given numbers are 416, 376, 472
The greatest common divisor of numbers 416, 376, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 376, 472 is 8.

1. What is the GCD of 416, 376, 472?

GCD of given numbers 416, 376, 472 is 8

2. How to calculate the greatest common divisor of 416, 376, 472?

We can find the highest common divisor of 416, 376, 472 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 416, 376, 472 i.e 8.

3. How can I use the GCD of 416, 376, 472Calculator?

Out the numbers 416, 376, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.