GCD of 196, 804, 960, 200 Calculator

Given Input numbers are 196, 804, 960, 200

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

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 (196, 804, 960, 200) = 4.

Given numbers are 196, 804, 960, 200

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 804 are 2 x 2 x 3 x 67

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

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

The highest common occurrence is 2²

Therefore, GCD of 196, 804, 960, 200 is 4.

Given numbers are 196, 804, 960, 200

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

Apply this formula for all numbers.

Step1:

LCM(196, 804) = 39396

GCD(196, 804) = ( 196 x 804 ) / 39396

= 196 / 804

= 196

Step2:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4

Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 196, 804, 960, 200 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 982, 302, 182, 662
• GCD of 528, 937, 142, 176
• GCD of 526, 498, 563, 682
• GCD of 357, 241, 488, 504
• GCD of 671, 998, 666, 425

Given numbers are 196, 804, 960, 200
The greatest common divisor of numbers 196, 804, 960, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 804, 960, 200 is 4.

1. What is the GCD of 196, 804, 960, 200?

GCD of given numbers 196, 804, 960, 200 is 4

2. How to calculate the greatest common divisor of 196, 804, 960, 200?

We can find the highest common divisor of 196, 804, 960, 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 196, 804, 960, 200 i.e 4.

3. How can I use the GCD of 196, 804, 960, 200Calculator?

Out the numbers 196, 804, 960, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.