GCD of 508, 178, 458, 202 Calculator

Given Input numbers are 508, 178, 458, 202

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

GCD of numbers is the greatest common divisor

So, the GCD (508, 178, 458, 202) = 2.

Given numbers are 508, 178, 458, 202

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 178 are 2 x 89

Prime factors of 458 are 2 x 229

Prime factors of 202 are 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 508, 178, 458, 202 is 2.

Given numbers are 508, 178, 458, 202

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

Apply this formula for all numbers.

Step1:

LCM(508, 178) = 45212

GCD(508, 178) = ( 508 x 178 ) / 45212

= 508 / 178

= 508

Step2:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2

So, Greatest Common Divisor of 508, 178, 458, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 850, 519, 316
• GCD of 104, 289, 162, 394
• GCD of 377, 325, 658, 916
• GCD of 842, 469, 827, 214
• GCD of 463, 630, 432, 531

Given numbers are 508, 178, 458, 202
The greatest common divisor of numbers 508, 178, 458, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 178, 458, 202 is 2.

1. What is the GCD of 508, 178, 458, 202?

GCD of given numbers 508, 178, 458, 202 is 2

2. How to calculate the greatest common divisor of 508, 178, 458, 202?

We can find the highest common divisor of 508, 178, 458, 202 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, 178, 458, 202 i.e 2.

3. How can I use the GCD of 508, 178, 458, 202Calculator?

Out the numbers 508, 178, 458, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.