GCD of 508, 914, 488, 828 Calculator

Given Input numbers are 508, 914, 488, 828

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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

GCD of numbers is the greatest common divisor

So, the GCD (508, 914, 488, 828) = 2.

Given numbers are 508, 914, 488, 828

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 914 are 2 x 457

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 508, 914, 488, 828 is 2.

Given numbers are 508, 914, 488, 828

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

Apply this formula for all numbers.

Step1:

LCM(508, 914) = 232156

GCD(508, 914) = ( 508 x 914 ) / 232156

= 508 / 914

= 508

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 828) = 828

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

= 2 / 828

= 2

So, Greatest Common Divisor of 508, 914, 488, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 717, 888, 795
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• GCD of 509, 245, 608, 821
• GCD of 795, 417, 526, 616

Given numbers are 508, 914, 488, 828
The greatest common divisor of numbers 508, 914, 488, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 914, 488, 828 is 2.

1. What is the GCD of 508, 914, 488, 828?

GCD of given numbers 508, 914, 488, 828 is 2

2. How to calculate the greatest common divisor of 508, 914, 488, 828?

We can find the highest common divisor of 508, 914, 488, 828 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 508, 914, 488, 828 i.e 2.

3. How can I use the GCD of 508, 914, 488, 828Calculator?

Out the numbers 508, 914, 488, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.