GCD of 224, 392, 889 Calculator

Given Input numbers are 224, 392, 889

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (224, 392, 889) = 7.

Given numbers are 224, 392, 889

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 889 are 7 x 127

The highest common occurrence is 7¹

Therefore, GCD of 224, 392, 889 is 7.

Given numbers are 224, 392, 889

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

Apply this formula for all numbers.

Step1:

LCM(224, 392) = 1568

GCD(224, 392) = ( 224 x 392 ) / 1568

= 224 / 392

= 224

Step2:

LCM(56, 889) = 7112

GCD(56, 889) = ( 56 x 889 ) / 7112

= 56 / 889

= 56

So, Greatest Common Divisor of 224, 392, 889 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 581, 900
• GCD of 595, 598, 925
• GCD of 393, 344, 228
• GCD of 211, 280, 516
• GCD of 607, 975, 778

Given numbers are 224, 392, 889
The greatest common divisor of numbers 224, 392, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 392, 889 is 7.

1. What is the GCD of 224, 392, 889?

GCD of given numbers 224, 392, 889 is 7

2. How to calculate the greatest common divisor of 224, 392, 889?

We can find the highest common divisor of 224, 392, 889 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, 392, 889 i.e 7.

3. How can I use the GCD of 224, 392, 889Calculator?

Out the numbers 224, 392, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.