GCD of 508, 238, 175, 280 Calculator

Given Input numbers are 508, 238, 175, 280

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 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (508, 238, 175, 280) = 1.

Given numbers are 508, 238, 175, 280

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 238 are 2 x 7 x 17

Prime factors of 175 are 5 x 5 x 7

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 508, 238, 175, 280

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

Apply this formula for all numbers.

Step1:

LCM(508, 238) = 60452

GCD(508, 238) = ( 508 x 238 ) / 60452

= 508 / 238

= 508

Step2:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 508, 238, 175, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 185, 819, 610
• GCD of 401, 836, 533, 922
• GCD of 137, 865, 689, 925
• GCD of 956, 349, 540, 813
• GCD of 387, 168, 241, 519

Given numbers are 508, 238, 175, 280
The greatest common divisor of numbers 508, 238, 175, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 238, 175, 280 is 1.

1. What is the GCD of 508, 238, 175, 280?

GCD of given numbers 508, 238, 175, 280 is 1

2. How to calculate the greatest common divisor of 508, 238, 175, 280?

We can find the highest common divisor of 508, 238, 175, 280 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, 238, 175, 280 i.e 1.

3. How can I use the GCD of 508, 238, 175, 280Calculator?

Out the numbers 508, 238, 175, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.