GCD of 448, 759, 990, 824 Calculator

Given Input numbers are 448, 759, 990, 824

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

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 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (448, 759, 990, 824) = 1.

Given numbers are 448, 759, 990, 824

The list of prime factors of all numbers are

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

Prime factors of 759 are 3 x 11 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 824 are 2 x 2 x 2 x 103

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

Given numbers are 448, 759, 990, 824

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

Apply this formula for all numbers.

Step1:

LCM(448, 759) = 340032

GCD(448, 759) = ( 448 x 759 ) / 340032

= 448 / 759

= 448

Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 448, 759, 990, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 318, 770, 748
• GCD of 728, 399, 928, 307
• GCD of 264, 875, 773, 144
• GCD of 284, 366, 949, 771
• GCD of 314, 306, 673, 891

Given numbers are 448, 759, 990, 824
The greatest common divisor of numbers 448, 759, 990, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 759, 990, 824 is 1.

1. What is the GCD of 448, 759, 990, 824?

GCD of given numbers 448, 759, 990, 824 is 1

2. How to calculate the greatest common divisor of 448, 759, 990, 824?

We can find the highest common divisor of 448, 759, 990, 824 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 448, 759, 990, 824 i.e 1.

3. How can I use the GCD of 448, 759, 990, 824Calculator?

Out the numbers 448, 759, 990, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.