GCD of 200, 410, 144, 748 Calculator

Given Input numbers are 200, 410, 144, 748

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (200, 410, 144, 748) = 2.

Given numbers are 200, 410, 144, 748

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 410 are 2 x 5 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 200, 410, 144, 748 is 2.

Given numbers are 200, 410, 144, 748

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

Apply this formula for all numbers.

Step1:

LCM(200, 410) = 8200

GCD(200, 410) = ( 200 x 410 ) / 8200

= 200 / 410

= 200

Step2:

LCM(10, 144) = 720

GCD(10, 144) = ( 10 x 144 ) / 720

= 10 / 144

= 10

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 200, 410, 144, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 623, 601, 750
• GCD of 317, 617, 270, 822
• GCD of 960, 881, 246, 171
• GCD of 389, 330, 430, 998
• GCD of 194, 258, 473, 676

Given numbers are 200, 410, 144, 748
The greatest common divisor of numbers 200, 410, 144, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 410, 144, 748 is 2.

1. What is the GCD of 200, 410, 144, 748?

GCD of given numbers 200, 410, 144, 748 is 2

2. How to calculate the greatest common divisor of 200, 410, 144, 748?

We can find the highest common divisor of 200, 410, 144, 748 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, 410, 144, 748 i.e 2.

3. How can I use the GCD of 200, 410, 144, 748Calculator?

Out the numbers 200, 410, 144, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.