GCD of 476, 732, 896, 416 Calculator

Given Input numbers are 476, 732, 896, 416

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

GCD of numbers is the greatest common divisor

So, the GCD (476, 732, 896, 416) = 4.

Given numbers are 476, 732, 896, 416

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

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

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 476, 732, 896, 416 is 4.

Given numbers are 476, 732, 896, 416

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

Apply this formula for all numbers.

Step1:

LCM(476, 732) = 87108

GCD(476, 732) = ( 476 x 732 ) / 87108

= 476 / 732

= 476

Step2:

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

= 4 / 896

= 4

Step3:

LCM(4, 416) = 416

GCD(4, 416) = ( 4 x 416 ) / 416

= 4 / 416

= 4

So, Greatest Common Divisor of 476, 732, 896, 416 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 332, 800, 839
• GCD of 894, 464, 596, 442
• GCD of 900, 663, 466, 990
• GCD of 975, 375, 620, 549
• GCD of 375, 832, 824, 426

Given numbers are 476, 732, 896, 416
The greatest common divisor of numbers 476, 732, 896, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 732, 896, 416 is 4.

1. What is the GCD of 476, 732, 896, 416?

GCD of given numbers 476, 732, 896, 416 is 4

2. How to calculate the greatest common divisor of 476, 732, 896, 416?

We can find the highest common divisor of 476, 732, 896, 416 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 476, 732, 896, 416 i.e 4.

3. How can I use the GCD of 476, 732, 896, 416Calculator?

Out the numbers 476, 732, 896, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.