GCD of 416, 448, 782, 476 Calculator

Given Input numbers are 416, 448, 782, 476

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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

GCD of numbers is the greatest common divisor

So, the GCD (416, 448, 782, 476) = 2.

Given numbers are 416, 448, 782, 476

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 416, 448, 782, 476 is 2.

Given numbers are 416, 448, 782, 476

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

Apply this formula for all numbers.

Step1:

LCM(416, 448) = 5824

GCD(416, 448) = ( 416 x 448 ) / 5824

= 416 / 448

= 416

Step2:

LCM(32, 782) = 12512

GCD(32, 782) = ( 32 x 782 ) / 12512

= 32 / 782

= 32

Step3:

LCM(2, 476) = 476

GCD(2, 476) = ( 2 x 476 ) / 476

= 2 / 476

= 2

So, Greatest Common Divisor of 416, 448, 782, 476 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 313, 608, 660
• GCD of 143, 276, 663, 204
• GCD of 747, 252, 821, 557
• GCD of 802, 308, 543, 377
• GCD of 609, 390, 898, 875

Given numbers are 416, 448, 782, 476
The greatest common divisor of numbers 416, 448, 782, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 448, 782, 476 is 2.

1. What is the GCD of 416, 448, 782, 476?

GCD of given numbers 416, 448, 782, 476 is 2

2. How to calculate the greatest common divisor of 416, 448, 782, 476?

We can find the highest common divisor of 416, 448, 782, 476 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, 448, 782, 476 i.e 2.

3. How can I use the GCD of 416, 448, 782, 476Calculator?

Out the numbers 416, 448, 782, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.