GCD of 508, 148, 648, 236 Calculator

Given Input numbers are 508, 148, 648, 236

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

GCD of numbers is the greatest common divisor

So, the GCD (508, 148, 648, 236) = 4.

Given numbers are 508, 148, 648, 236

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 148 are 2 x 2 x 37

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 2²

Therefore, GCD of 508, 148, 648, 236 is 4.

Given numbers are 508, 148, 648, 236

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

Apply this formula for all numbers.

Step1:

LCM(508, 148) = 18796

GCD(508, 148) = ( 508 x 148 ) / 18796

= 508 / 148

= 508

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

Step3:

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

= 4 / 236

= 4

So, Greatest Common Divisor of 508, 148, 648, 236 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 173, 588, 760
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• GCD of 697, 895, 642, 652

Given numbers are 508, 148, 648, 236
The greatest common divisor of numbers 508, 148, 648, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 148, 648, 236 is 4.

1. What is the GCD of 508, 148, 648, 236?

GCD of given numbers 508, 148, 648, 236 is 4

2. How to calculate the greatest common divisor of 508, 148, 648, 236?

We can find the highest common divisor of 508, 148, 648, 236 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, 148, 648, 236 i.e 4.

3. How can I use the GCD of 508, 148, 648, 236Calculator?

Out the numbers 508, 148, 648, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.