GCD of 764, 366, 528, 198 Calculator

Given Input numbers are 764, 366, 528, 198

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

GCD of numbers is the greatest common divisor

So, the GCD (764, 366, 528, 198) = 2.

Given numbers are 764, 366, 528, 198

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 366 are 2 x 3 x 61

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 764, 366, 528, 198 is 2.

Given numbers are 764, 366, 528, 198

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

Apply this formula for all numbers.

Step1:

LCM(764, 366) = 139812

GCD(764, 366) = ( 764 x 366 ) / 139812

= 764 / 366

= 764

Step2:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 764, 366, 528, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 915, 945, 447
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• GCD of 490, 691, 107, 123
• GCD of 850, 402, 368, 230
• GCD of 862, 361, 938, 677

Given numbers are 764, 366, 528, 198
The greatest common divisor of numbers 764, 366, 528, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 366, 528, 198 is 2.

1. What is the GCD of 764, 366, 528, 198?

GCD of given numbers 764, 366, 528, 198 is 2

2. How to calculate the greatest common divisor of 764, 366, 528, 198?

We can find the highest common divisor of 764, 366, 528, 198 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 764, 366, 528, 198 i.e 2.

3. How can I use the GCD of 764, 366, 528, 198Calculator?

Out the numbers 764, 366, 528, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.