GCD of 471, 989, 214, 224 Calculator

Given Input numbers are 471, 989, 214, 224

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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

GCD of numbers is the greatest common divisor

So, the GCD (471, 989, 214, 224) = 1.

Given numbers are 471, 989, 214, 224

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 989 are 23 x 43

Prime factors of 214 are 2 x 107

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

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

Given numbers are 471, 989, 214, 224

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

Apply this formula for all numbers.

Step1:

LCM(471, 989) = 465819

GCD(471, 989) = ( 471 x 989 ) / 465819

= 471 / 989

= 471

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 471, 989, 214, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 125, 701, 307
• GCD of 304, 287, 833, 788
• GCD of 863, 976, 923, 231
• GCD of 736, 647, 506, 701
• GCD of 239, 721, 433, 599

Given numbers are 471, 989, 214, 224
The greatest common divisor of numbers 471, 989, 214, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 989, 214, 224 is 1.

1. What is the GCD of 471, 989, 214, 224?

GCD of given numbers 471, 989, 214, 224 is 1

2. How to calculate the greatest common divisor of 471, 989, 214, 224?

We can find the highest common divisor of 471, 989, 214, 224 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 471, 989, 214, 224 i.e 1.

3. How can I use the GCD of 471, 989, 214, 224Calculator?

Out the numbers 471, 989, 214, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.