GCD of 508, 154, 382, 448 Calculator

Given Input numbers are 508, 154, 382, 448

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 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (508, 154, 382, 448) = 2.

Given numbers are 508, 154, 382, 448

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 154 are 2 x 7 x 11

Prime factors of 382 are 2 x 191

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 508, 154, 382, 448 is 2.

Given numbers are 508, 154, 382, 448

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

Apply this formula for all numbers.

Step1:

LCM(508, 154) = 39116

GCD(508, 154) = ( 508 x 154 ) / 39116

= 508 / 154

= 508

Step2:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 508, 154, 382, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 796, 716, 440
• GCD of 884, 171, 285, 563
• GCD of 808, 497, 480, 158
• GCD of 550, 878, 137, 685
• GCD of 504, 223, 554, 592

Given numbers are 508, 154, 382, 448
The greatest common divisor of numbers 508, 154, 382, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 154, 382, 448 is 2.

1. What is the GCD of 508, 154, 382, 448?

GCD of given numbers 508, 154, 382, 448 is 2

2. How to calculate the greatest common divisor of 508, 154, 382, 448?

We can find the highest common divisor of 508, 154, 382, 448 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, 154, 382, 448 i.e 2.

3. How can I use the GCD of 508, 154, 382, 448Calculator?

Out the numbers 508, 154, 382, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.