GCD of 224, 142, 998, 727 Calculator

Given Input numbers are 224, 142, 998, 727

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

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (224, 142, 998, 727) = 1.

Given numbers are 224, 142, 998, 727

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 998 are 2 x 499

Prime factors of 727 are 727

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

Given numbers are 224, 142, 998, 727

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

Apply this formula for all numbers.

Step1:

LCM(224, 142) = 15904

GCD(224, 142) = ( 224 x 142 ) / 15904

= 224 / 142

= 224

Step2:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

Step3:

LCM(2, 727) = 1454

GCD(2, 727) = ( 2 x 727 ) / 1454

= 2 / 727

= 2

So, Greatest Common Divisor of 224, 142, 998, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 406, 412, 639
• GCD of 302, 811, 369, 390
• GCD of 146, 209, 618, 854
• GCD of 345, 935, 106, 989
• GCD of 831, 786, 443, 445

Given numbers are 224, 142, 998, 727
The greatest common divisor of numbers 224, 142, 998, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 142, 998, 727 is 1.

1. What is the GCD of 224, 142, 998, 727?

GCD of given numbers 224, 142, 998, 727 is 1

2. How to calculate the greatest common divisor of 224, 142, 998, 727?

We can find the highest common divisor of 224, 142, 998, 727 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 224, 142, 998, 727 i.e 1.

3. How can I use the GCD of 224, 142, 998, 727Calculator?

Out the numbers 224, 142, 998, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.