GCD of 364, 528, 994, 654 Calculator

Given Input numbers are 364, 528, 994, 654

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (364, 528, 994, 654) = 2.

Given numbers are 364, 528, 994, 654

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 994 are 2 x 7 x 71

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 364, 528, 994, 654 is 2.

Given numbers are 364, 528, 994, 654

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

Apply this formula for all numbers.

Step1:

LCM(364, 528) = 48048

GCD(364, 528) = ( 364 x 528 ) / 48048

= 364 / 528

= 364

Step2:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 364, 528, 994, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 787, 806, 365
• GCD of 487, 395, 229, 656
• GCD of 403, 842, 370, 420
• GCD of 484, 823, 855, 665
• GCD of 256, 698, 421, 624

Given numbers are 364, 528, 994, 654
The greatest common divisor of numbers 364, 528, 994, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 528, 994, 654 is 2.

1. What is the GCD of 364, 528, 994, 654?

GCD of given numbers 364, 528, 994, 654 is 2

2. How to calculate the greatest common divisor of 364, 528, 994, 654?

We can find the highest common divisor of 364, 528, 994, 654 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 364, 528, 994, 654 i.e 2.

3. How can I use the GCD of 364, 528, 994, 654Calculator?

Out the numbers 364, 528, 994, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.