GCD of 318, 402, 704, 200 Calculator

Given Input numbers are 318, 402, 704, 200

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 (318, 402, 704, 200) = 2.

Given numbers are 318, 402, 704, 200

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 402 are 2 x 3 x 67

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 318, 402, 704, 200 is 2.

Given numbers are 318, 402, 704, 200

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

Apply this formula for all numbers.

Step1:

LCM(318, 402) = 21306

GCD(318, 402) = ( 318 x 402 ) / 21306

= 318 / 402

= 318

Step2:

LCM(6, 704) = 2112

GCD(6, 704) = ( 6 x 704 ) / 2112

= 6 / 704

= 6

Step3:

LCM(2, 200) = 200

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

= 2 / 200

= 2

So, Greatest Common Divisor of 318, 402, 704, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 212, 697, 347
• GCD of 261, 842, 952, 143
• GCD of 476, 447, 216, 310
• GCD of 246, 394, 707, 387
• GCD of 472, 878, 210, 857

Given numbers are 318, 402, 704, 200
The greatest common divisor of numbers 318, 402, 704, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 402, 704, 200 is 2.

1. What is the GCD of 318, 402, 704, 200?

GCD of given numbers 318, 402, 704, 200 is 2

2. How to calculate the greatest common divisor of 318, 402, 704, 200?

We can find the highest common divisor of 318, 402, 704, 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 318, 402, 704, 200 i.e 2.

3. How can I use the GCD of 318, 402, 704, 200Calculator?

Out the numbers 318, 402, 704, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.