GCD of 764, 102, 504, 284 Calculator

Given Input numbers are 764, 102, 504, 284

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (764, 102, 504, 284) = 2.

Given numbers are 764, 102, 504, 284

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 102 are 2 x 3 x 17

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 764, 102, 504, 284 is 2.

Given numbers are 764, 102, 504, 284

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

Apply this formula for all numbers.

Step1:

LCM(764, 102) = 38964

GCD(764, 102) = ( 764 x 102 ) / 38964

= 764 / 102

= 764

Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2

Step3:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

So, Greatest Common Divisor of 764, 102, 504, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 164, 660, 183
• GCD of 358, 960, 466, 514
• GCD of 169, 605, 287, 945
• GCD of 217, 466, 799, 755
• GCD of 913, 477, 930, 987

Given numbers are 764, 102, 504, 284
The greatest common divisor of numbers 764, 102, 504, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 102, 504, 284 is 2.

1. What is the GCD of 764, 102, 504, 284?

GCD of given numbers 764, 102, 504, 284 is 2

2. How to calculate the greatest common divisor of 764, 102, 504, 284?

We can find the highest common divisor of 764, 102, 504, 284 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, 102, 504, 284 i.e 2.

3. How can I use the GCD of 764, 102, 504, 284Calculator?

Out the numbers 764, 102, 504, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.