GCD of 506, 490, 828, 376 Calculator

Given Input numbers are 506, 490, 828, 376

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

GCD of numbers is the greatest common divisor

So, the GCD (506, 490, 828, 376) = 2.

Given numbers are 506, 490, 828, 376

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 376 are 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 506, 490, 828, 376 is 2.

Given numbers are 506, 490, 828, 376

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

Apply this formula for all numbers.

Step1:

LCM(506, 490) = 123970

GCD(506, 490) = ( 506 x 490 ) / 123970

= 506 / 490

= 506

Step2:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

Step3:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

So, Greatest Common Divisor of 506, 490, 828, 376 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 426, 615, 483
• GCD of 410, 553, 153, 562
• GCD of 513, 178, 145, 837
• GCD of 993, 762, 691, 673
• GCD of 712, 327, 185, 484

Given numbers are 506, 490, 828, 376
The greatest common divisor of numbers 506, 490, 828, 376 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 490, 828, 376 is 2.

1. What is the GCD of 506, 490, 828, 376?

GCD of given numbers 506, 490, 828, 376 is 2

2. How to calculate the greatest common divisor of 506, 490, 828, 376?

We can find the highest common divisor of 506, 490, 828, 376 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 506, 490, 828, 376 i.e 2.

3. How can I use the GCD of 506, 490, 828, 376Calculator?

Out the numbers 506, 490, 828, 376 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.