GCD of 828, 728, 880, 649 Calculator

Given Input numbers are 828, 728, 880, 649

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (828, 728, 880, 649) = 1.

Given numbers are 828, 728, 880, 649

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 649 are 11 x 59

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

Given numbers are 828, 728, 880, 649

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

Apply this formula for all numbers.

Step1:

LCM(828, 728) = 150696

GCD(828, 728) = ( 828 x 728 ) / 150696

= 828 / 728

= 828

Step2:

LCM(4, 880) = 880

GCD(4, 880) = ( 4 x 880 ) / 880

= 4 / 880

= 4

Step3:

LCM(4, 649) = 2596

GCD(4, 649) = ( 4 x 649 ) / 2596

= 4 / 649

= 4

So, Greatest Common Divisor of 828, 728, 880, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 974, 288, 741
• GCD of 388, 481, 604, 254
• GCD of 304, 895, 831, 586
• GCD of 648, 817, 696, 924
• GCD of 568, 949, 909, 760

Given numbers are 828, 728, 880, 649
The greatest common divisor of numbers 828, 728, 880, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 728, 880, 649 is 1.

1. What is the GCD of 828, 728, 880, 649?

GCD of given numbers 828, 728, 880, 649 is 1

2. How to calculate the greatest common divisor of 828, 728, 880, 649?

We can find the highest common divisor of 828, 728, 880, 649 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 828, 728, 880, 649 i.e 1.

3. How can I use the GCD of 828, 728, 880, 649Calculator?

Out the numbers 828, 728, 880, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.