GCD of 784, 466, 109, 131 Calculator

Given Input numbers are 784, 466, 109, 131

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

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 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 109 :

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

1, 109

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

GCD of numbers is the greatest common divisor

So, the GCD (784, 466, 109, 131) = 1.

Given numbers are 784, 466, 109, 131

The list of prime factors of all numbers are

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

Prime factors of 466 are 2 x 233

Prime factors of 109 are 109

Prime factors of 131 are 131

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

Given numbers are 784, 466, 109, 131

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

Apply this formula for all numbers.

Step1:

LCM(784, 466) = 182672

GCD(784, 466) = ( 784 x 466 ) / 182672

= 784 / 466

= 784

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1

So, Greatest Common Divisor of 784, 466, 109, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 217, 766, 432
• GCD of 988, 151, 420, 900
• GCD of 700, 297, 222, 764
• GCD of 820, 649, 430, 448
• GCD of 208, 817, 846, 266

Given numbers are 784, 466, 109, 131
The greatest common divisor of numbers 784, 466, 109, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 466, 109, 131 is 1.

1. What is the GCD of 784, 466, 109, 131?

GCD of given numbers 784, 466, 109, 131 is 1

2. How to calculate the greatest common divisor of 784, 466, 109, 131?

We can find the highest common divisor of 784, 466, 109, 131 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 784, 466, 109, 131 i.e 1.

3. How can I use the GCD of 784, 466, 109, 131Calculator?

Out the numbers 784, 466, 109, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.