GCD of 189, 777, 224 Calculator

Given Input numbers are 189, 777, 224

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

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 (189, 777, 224) = 7.

Given numbers are 189, 777, 224

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 777 are 3 x 7 x 37

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

The highest common occurrence is 7¹

Therefore, GCD of 189, 777, 224 is 7.

Given numbers are 189, 777, 224

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

Apply this formula for all numbers.

Step1:

LCM(189, 777) = 6993

GCD(189, 777) = ( 189 x 777 ) / 6993

= 189 / 777

= 189

Step2:

LCM(21, 224) = 672

GCD(21, 224) = ( 21 x 224 ) / 672

= 21 / 224

= 21

So, Greatest Common Divisor of 189, 777, 224 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 661, 638
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Given numbers are 189, 777, 224
The greatest common divisor of numbers 189, 777, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 777, 224 is 7.

1. What is the GCD of 189, 777, 224?

GCD of given numbers 189, 777, 224 is 7

2. How to calculate the greatest common divisor of 189, 777, 224?

We can find the highest common divisor of 189, 777, 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 189, 777, 224 i.e 7.

3. How can I use the GCD of 189, 777, 224Calculator?

Out the numbers 189, 777, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.