GCD of 198, 784, 560, 202 Calculator

Given Input numbers are 198, 784, 560, 202

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (198, 784, 560, 202) = 2.

Given numbers are 198, 784, 560, 202

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 198, 784, 560, 202 is 2.

Given numbers are 198, 784, 560, 202

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

Apply this formula for all numbers.

Step1:

LCM(198, 784) = 77616

GCD(198, 784) = ( 198 x 784 ) / 77616

= 198 / 784

= 198

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

So, Greatest Common Divisor of 198, 784, 560, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 709, 803, 226
• GCD of 282, 548, 201, 980
• GCD of 127, 762, 167, 876
• GCD of 958, 680, 615, 702
• GCD of 450, 135, 877, 109

Given numbers are 198, 784, 560, 202
The greatest common divisor of numbers 198, 784, 560, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 784, 560, 202 is 2.

1. What is the GCD of 198, 784, 560, 202?

GCD of given numbers 198, 784, 560, 202 is 2

2. How to calculate the greatest common divisor of 198, 784, 560, 202?

We can find the highest common divisor of 198, 784, 560, 202 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 198, 784, 560, 202 i.e 2.

3. How can I use the GCD of 198, 784, 560, 202Calculator?

Out the numbers 198, 784, 560, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.