GCD of 508, 758, 254, 524 Calculator

Given Input numbers are 508, 758, 254, 524

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 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (508, 758, 254, 524) = 2.

Given numbers are 508, 758, 254, 524

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 758 are 2 x 379

Prime factors of 254 are 2 x 127

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 508, 758, 254, 524 is 2.

Given numbers are 508, 758, 254, 524

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

Apply this formula for all numbers.

Step1:

LCM(508, 758) = 192532

GCD(508, 758) = ( 508 x 758 ) / 192532

= 508 / 758

= 508

Step2:

LCM(2, 254) = 254

GCD(2, 254) = ( 2 x 254 ) / 254

= 2 / 254

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 508, 758, 254, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 880, 909, 660
• GCD of 538, 754, 895, 752
• GCD of 361, 505, 821, 259
• GCD of 875, 710, 780, 902
• GCD of 497, 637, 133, 222

Given numbers are 508, 758, 254, 524
The greatest common divisor of numbers 508, 758, 254, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 758, 254, 524 is 2.

1. What is the GCD of 508, 758, 254, 524?

GCD of given numbers 508, 758, 254, 524 is 2

2. How to calculate the greatest common divisor of 508, 758, 254, 524?

We can find the highest common divisor of 508, 758, 254, 524 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, 758, 254, 524 i.e 2.

3. How can I use the GCD of 508, 758, 254, 524Calculator?

Out the numbers 508, 758, 254, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.