GCD of 510, 492, 764, 428 Calculator

Given Input numbers are 510, 492, 764, 428

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (510, 492, 764, 428) = 2.

Given numbers are 510, 492, 764, 428

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 764 are 2 x 2 x 191

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 510, 492, 764, 428 is 2.

Given numbers are 510, 492, 764, 428

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

Apply this formula for all numbers.

Step1:

LCM(510, 492) = 41820

GCD(510, 492) = ( 510 x 492 ) / 41820

= 510 / 492

= 510

Step2:

LCM(6, 764) = 2292

GCD(6, 764) = ( 6 x 764 ) / 2292

= 6 / 764

= 6

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 510, 492, 764, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 263, 653, 338
• GCD of 962, 706, 970, 658
• GCD of 864, 205, 983, 684
• GCD of 414, 121, 385, 783
• GCD of 581, 511, 331, 555

Given numbers are 510, 492, 764, 428
The greatest common divisor of numbers 510, 492, 764, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 492, 764, 428 is 2.

1. What is the GCD of 510, 492, 764, 428?

GCD of given numbers 510, 492, 764, 428 is 2

2. How to calculate the greatest common divisor of 510, 492, 764, 428?

We can find the highest common divisor of 510, 492, 764, 428 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 510, 492, 764, 428 i.e 2.

3. How can I use the GCD of 510, 492, 764, 428Calculator?

Out the numbers 510, 492, 764, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.