GCD of 784, 998, 182, 826 Calculator

Given Input numbers are 784, 998, 182, 826

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 998 :

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

1, 2, 499, 998

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (784, 998, 182, 826) = 2.

Given numbers are 784, 998, 182, 826

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 998 are 2 x 499

Prime factors of 182 are 2 x 7 x 13

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 784, 998, 182, 826 is 2.

Given numbers are 784, 998, 182, 826

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

Apply this formula for all numbers.

Step1:

LCM(784, 998) = 391216

GCD(784, 998) = ( 784 x 998 ) / 391216

= 784 / 998

= 784

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 784, 998, 182, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 244, 695, 123
• GCD of 650, 280, 927, 150
• GCD of 981, 728, 694, 793
• GCD of 775, 455, 141, 127
• GCD of 527, 182, 964, 122

Given numbers are 784, 998, 182, 826
The greatest common divisor of numbers 784, 998, 182, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 998, 182, 826 is 2.

1. What is the GCD of 784, 998, 182, 826?

GCD of given numbers 784, 998, 182, 826 is 2

2. How to calculate the greatest common divisor of 784, 998, 182, 826?

We can find the highest common divisor of 784, 998, 182, 826 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, 998, 182, 826 i.e 2.

3. How can I use the GCD of 784, 998, 182, 826Calculator?

Out the numbers 784, 998, 182, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.