GCD of 400, 450, 559, 448 Calculator

Given Input numbers are 400, 450, 559, 448

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 450, 559, 448) = 1.

Given numbers are 400, 450, 559, 448

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 559 are 13 x 43

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

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

Given numbers are 400, 450, 559, 448

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

Apply this formula for all numbers.

Step1:

LCM(400, 450) = 3600

GCD(400, 450) = ( 400 x 450 ) / 3600

= 400 / 450

= 400

Step2:

LCM(50, 559) = 27950

GCD(50, 559) = ( 50 x 559 ) / 27950

= 50 / 559

= 50

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 400, 450, 559, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 625, 992, 870
• GCD of 761, 403, 598, 643
• GCD of 291, 249, 892, 322
• GCD of 118, 286, 851, 228
• GCD of 362, 544, 250, 882

Given numbers are 400, 450, 559, 448
The greatest common divisor of numbers 400, 450, 559, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 450, 559, 448 is 1.

1. What is the GCD of 400, 450, 559, 448?

GCD of given numbers 400, 450, 559, 448 is 1

2. How to calculate the greatest common divisor of 400, 450, 559, 448?

We can find the highest common divisor of 400, 450, 559, 448 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 400, 450, 559, 448 i.e 1.

3. How can I use the GCD of 400, 450, 559, 448Calculator?

Out the numbers 400, 450, 559, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.