GCD of 723, 448, 126, 828 Calculator

Given Input numbers are 723, 448, 126, 828

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

GCD of numbers is the greatest common divisor

So, the GCD (723, 448, 126, 828) = 1.

Given numbers are 723, 448, 126, 828

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

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

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

Given numbers are 723, 448, 126, 828

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

Apply this formula for all numbers.

Step1:

LCM(723, 448) = 323904

GCD(723, 448) = ( 723 x 448 ) / 323904

= 723 / 448

= 723

Step2:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 723, 448, 126, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 916, 294, 673
• GCD of 120, 919, 571, 468
• GCD of 399, 887, 968, 737
• GCD of 446, 585, 436, 218
• GCD of 114, 544, 472, 284

Given numbers are 723, 448, 126, 828
The greatest common divisor of numbers 723, 448, 126, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 448, 126, 828 is 1.

1. What is the GCD of 723, 448, 126, 828?

GCD of given numbers 723, 448, 126, 828 is 1

2. How to calculate the greatest common divisor of 723, 448, 126, 828?

We can find the highest common divisor of 723, 448, 126, 828 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 723, 448, 126, 828 i.e 1.

3. How can I use the GCD of 723, 448, 126, 828Calculator?

Out the numbers 723, 448, 126, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.