GCD of 898, 872, 200, 648 Calculator

Given Input numbers are 898, 872, 200, 648

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

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (898, 872, 200, 648) = 2.

Given numbers are 898, 872, 200, 648

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 872 are 2 x 2 x 2 x 109

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 898, 872, 200, 648 is 2.

Given numbers are 898, 872, 200, 648

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

Apply this formula for all numbers.

Step1:

LCM(898, 872) = 391528

GCD(898, 872) = ( 898 x 872 ) / 391528

= 898 / 872

= 898

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 898, 872, 200, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 967, 795, 919, 162
• GCD of 514, 812, 734, 885
• GCD of 465, 971, 928, 156
• GCD of 528, 544, 373, 742
• GCD of 732, 323, 191, 875

Given numbers are 898, 872, 200, 648
The greatest common divisor of numbers 898, 872, 200, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 872, 200, 648 is 2.

1. What is the GCD of 898, 872, 200, 648?

GCD of given numbers 898, 872, 200, 648 is 2

2. How to calculate the greatest common divisor of 898, 872, 200, 648?

We can find the highest common divisor of 898, 872, 200, 648 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 898, 872, 200, 648 i.e 2.

3. How can I use the GCD of 898, 872, 200, 648Calculator?

Out the numbers 898, 872, 200, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.