GCD of 200, 504, 448 Calculator

Given Input numbers are 200, 504, 448

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 (200, 504, 448) = 8.

Given numbers are 200, 504, 448

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 2³

Therefore, GCD of 200, 504, 448 is 8.

Given numbers are 200, 504, 448

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

Apply this formula for all numbers.

Step1:

LCM(200, 504) = 12600

GCD(200, 504) = ( 200 x 504 ) / 12600

= 200 / 504

= 200

Step2:

LCM(8, 448) = 448

GCD(8, 448) = ( 8 x 448 ) / 448

= 8 / 448

= 8

So, Greatest Common Divisor of 200, 504, 448 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 891, 738
• GCD of 128, 904, 632
• GCD of 282, 976, 677
• GCD of 784, 948, 203
• GCD of 213, 820, 240

Given numbers are 200, 504, 448
The greatest common divisor of numbers 200, 504, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 504, 448 is 8.

1. What is the GCD of 200, 504, 448?

GCD of given numbers 200, 504, 448 is 8

2. How to calculate the greatest common divisor of 200, 504, 448?

We can find the highest common divisor of 200, 504, 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 200, 504, 448 i.e 8.

3. How can I use the GCD of 200, 504, 448Calculator?

Out the numbers 200, 504, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.