GCD of 109, 784, 228 Calculator

Given Input numbers are 109, 784, 228

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (109, 784, 228) = 1.

Given numbers are 109, 784, 228

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

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

Given numbers are 109, 784, 228

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

Apply this formula for all numbers.

Step1:

LCM(109, 784) = 85456

GCD(109, 784) = ( 109 x 784 ) / 85456

= 109 / 784

= 109

Step2:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 109, 784, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 298, 154
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• GCD of 260, 516, 554
• GCD of 434, 480, 450
• GCD of 846, 485, 393

Given numbers are 109, 784, 228
The greatest common divisor of numbers 109, 784, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 784, 228 is 1.

1. What is the GCD of 109, 784, 228?

GCD of given numbers 109, 784, 228 is 1

2. How to calculate the greatest common divisor of 109, 784, 228?

We can find the highest common divisor of 109, 784, 228 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 109, 784, 228 i.e 1.

3. How can I use the GCD of 109, 784, 228Calculator?

Out the numbers 109, 784, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.