GCD of 784, 448, 826, 891 Calculator

Given Input numbers are 784, 448, 826, 891

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 826 :

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

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (784, 448, 826, 891) = 1.

Given numbers are 784, 448, 826, 891

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 826 are 2 x 7 x 59

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Given numbers are 784, 448, 826, 891

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

Apply this formula for all numbers.

Step1:

LCM(784, 448) = 3136

GCD(784, 448) = ( 784 x 448 ) / 3136

= 784 / 448

= 784

Step2:

LCM(112, 826) = 6608

GCD(112, 826) = ( 112 x 826 ) / 6608

= 112 / 826

= 112

Step3:

LCM(14, 891) = 12474

GCD(14, 891) = ( 14 x 891 ) / 12474

= 14 / 891

= 14

So, Greatest Common Divisor of 784, 448, 826, 891 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 194, 994, 730
• GCD of 693, 239, 738, 992
• GCD of 451, 692, 244, 939
• GCD of 753, 806, 514, 917
• GCD of 133, 240, 357, 934

Given numbers are 784, 448, 826, 891
The greatest common divisor of numbers 784, 448, 826, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 448, 826, 891 is 1.

1. What is the GCD of 784, 448, 826, 891?

GCD of given numbers 784, 448, 826, 891 is 1

2. How to calculate the greatest common divisor of 784, 448, 826, 891?

We can find the highest common divisor of 784, 448, 826, 891 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, 448, 826, 891 i.e 1.

3. How can I use the GCD of 784, 448, 826, 891Calculator?

Out the numbers 784, 448, 826, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.