GCD of 210, 312, 748, 200 Calculator

Given Input numbers are 210, 312, 748, 200

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

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

GCD of numbers is the greatest common divisor

So, the GCD (210, 312, 748, 200) = 2.

Given numbers are 210, 312, 748, 200

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

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

The highest common occurrence is 2¹

Therefore, GCD of 210, 312, 748, 200 is 2.

Given numbers are 210, 312, 748, 200

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

Apply this formula for all numbers.

Step1:

LCM(210, 312) = 10920

GCD(210, 312) = ( 210 x 312 ) / 10920

= 210 / 312

= 210

Step2:

LCM(6, 748) = 2244

GCD(6, 748) = ( 6 x 748 ) / 2244

= 6 / 748

= 6

Step3:

LCM(2, 200) = 200

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

= 2 / 200

= 2

So, Greatest Common Divisor of 210, 312, 748, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 182, 852, 242
• GCD of 251, 263, 317, 587
• GCD of 800, 448, 591, 868
• GCD of 175, 527, 446, 134
• GCD of 482, 360, 415, 293

Given numbers are 210, 312, 748, 200
The greatest common divisor of numbers 210, 312, 748, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 312, 748, 200 is 2.

1. What is the GCD of 210, 312, 748, 200?

GCD of given numbers 210, 312, 748, 200 is 2

2. How to calculate the greatest common divisor of 210, 312, 748, 200?

We can find the highest common divisor of 210, 312, 748, 200 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 210, 312, 748, 200 i.e 2.

3. How can I use the GCD of 210, 312, 748, 200Calculator?

Out the numbers 210, 312, 748, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.