GCD of 334, 206, 200, 960 Calculator

Given Input numbers are 334, 206, 200, 960

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (334, 206, 200, 960) = 2.

Given numbers are 334, 206, 200, 960

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 206 are 2 x 103

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 334, 206, 200, 960 is 2.

Given numbers are 334, 206, 200, 960

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

Apply this formula for all numbers.

Step1:

LCM(334, 206) = 34402

GCD(334, 206) = ( 334 x 206 ) / 34402

= 334 / 206

= 334

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 334, 206, 200, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 669, 354, 609
• GCD of 140, 826, 899, 918
• GCD of 127, 254, 145, 921
• GCD of 844, 926, 822, 638
• GCD of 469, 419, 202, 240

Given numbers are 334, 206, 200, 960
The greatest common divisor of numbers 334, 206, 200, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 206, 200, 960 is 2.

1. What is the GCD of 334, 206, 200, 960?

GCD of given numbers 334, 206, 200, 960 is 2

2. How to calculate the greatest common divisor of 334, 206, 200, 960?

We can find the highest common divisor of 334, 206, 200, 960 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 334, 206, 200, 960 i.e 2.

3. How can I use the GCD of 334, 206, 200, 960Calculator?

Out the numbers 334, 206, 200, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.