GCD of 200, 680, 710, 320 Calculator

Given Input numbers are 200, 680, 710, 320

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (200, 680, 710, 320) = 10.

Given numbers are 200, 680, 710, 320

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 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 710 are 2 x 5 x 71

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 200, 680, 710, 320 is 10.

Given numbers are 200, 680, 710, 320

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

Apply this formula for all numbers.

Step1:

LCM(200, 680) = 3400

GCD(200, 680) = ( 200 x 680 ) / 3400

= 200 / 680

= 200

Step2:

LCM(40, 710) = 2840

GCD(40, 710) = ( 40 x 710 ) / 2840

= 40 / 710

= 40

Step3:

LCM(10, 320) = 320

GCD(10, 320) = ( 10 x 320 ) / 320

= 10 / 320

= 10

So, Greatest Common Divisor of 200, 680, 710, 320 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 174, 464, 421
• GCD of 805, 447, 272, 884
• GCD of 821, 847, 407, 826
• GCD of 715, 808, 327, 159
• GCD of 387, 526, 556, 900

Given numbers are 200, 680, 710, 320
The greatest common divisor of numbers 200, 680, 710, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 680, 710, 320 is 10.

1. What is the GCD of 200, 680, 710, 320?

GCD of given numbers 200, 680, 710, 320 is 10

2. How to calculate the greatest common divisor of 200, 680, 710, 320?

We can find the highest common divisor of 200, 680, 710, 320 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, 680, 710, 320 i.e 10.

3. How can I use the GCD of 200, 680, 710, 320Calculator?

Out the numbers 200, 680, 710, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.