GCD of 198, 164, 945, 520 Calculator

Given Input numbers are 198, 164, 945, 520

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (198, 164, 945, 520) = 1.

Given numbers are 198, 164, 945, 520

The list of prime factors of all numbers are

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

Prime factors of 164 are 2 x 2 x 41

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 198, 164, 945, 520

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

Apply this formula for all numbers.

Step1:

LCM(198, 164) = 16236

GCD(198, 164) = ( 198 x 164 ) / 16236

= 198 / 164

= 198

Step2:

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

= 2 / 945

= 2

Step3:

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

= 1 / 520

= 1

So, Greatest Common Divisor of 198, 164, 945, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 743, 693, 426
• GCD of 217, 300, 414, 293
• GCD of 703, 905, 143, 440
• GCD of 996, 205, 408, 421
• GCD of 244, 809, 579, 553

Given numbers are 198, 164, 945, 520
The greatest common divisor of numbers 198, 164, 945, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 164, 945, 520 is 1.

1. What is the GCD of 198, 164, 945, 520?

GCD of given numbers 198, 164, 945, 520 is 1

2. How to calculate the greatest common divisor of 198, 164, 945, 520?

We can find the highest common divisor of 198, 164, 945, 520 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, 164, 945, 520 i.e 1.

3. How can I use the GCD of 198, 164, 945, 520Calculator?

Out the numbers 198, 164, 945, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.