GCD of 472, 224, 448, 343 Calculator

Given Input numbers are 472, 224, 448, 343

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

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

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (472, 224, 448, 343) = 1.

Given numbers are 472, 224, 448, 343

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 343 are 7 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 472, 224, 448, 343

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

Apply this formula for all numbers.

Step1:

LCM(472, 224) = 13216

GCD(472, 224) = ( 472 x 224 ) / 13216

= 472 / 224

= 472

Step2:

LCM(8, 448) = 448

GCD(8, 448) = ( 8 x 448 ) / 448

= 8 / 448

= 8

Step3:

LCM(8, 343) = 2744

GCD(8, 343) = ( 8 x 343 ) / 2744

= 8 / 343

= 8

So, Greatest Common Divisor of 472, 224, 448, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 745, 997, 672
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Given numbers are 472, 224, 448, 343
The greatest common divisor of numbers 472, 224, 448, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 224, 448, 343 is 1.

1. What is the GCD of 472, 224, 448, 343?

GCD of given numbers 472, 224, 448, 343 is 1

2. How to calculate the greatest common divisor of 472, 224, 448, 343?

We can find the highest common divisor of 472, 224, 448, 343 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, 224, 448, 343 i.e 1.

3. How can I use the GCD of 472, 224, 448, 343Calculator?

Out the numbers 472, 224, 448, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.