GCD of 448, 658, 384, 158 Calculator

Given Input numbers are 448, 658, 384, 158

In the factoring method, we have to find the divisors of all numbers

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

GCD of numbers is the greatest common divisor

So, the GCD (448, 658, 384, 158) = 2.

Given numbers are 448, 658, 384, 158

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 158 are 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 448, 658, 384, 158 is 2.

Given numbers are 448, 658, 384, 158

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

Apply this formula for all numbers.

Step1:

LCM(448, 658) = 21056

GCD(448, 658) = ( 448 x 658 ) / 21056

= 448 / 658

= 448

Step2:

LCM(14, 384) = 2688

GCD(14, 384) = ( 14 x 384 ) / 2688

= 14 / 384

= 14

Step3:

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

= 2 / 158

= 2

So, Greatest Common Divisor of 448, 658, 384, 158 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 422, 251, 991
• GCD of 645, 562, 820, 740
• GCD of 831, 302, 738, 188
• GCD of 788, 504, 733, 923
• GCD of 275, 215, 678, 812

Given numbers are 448, 658, 384, 158
The greatest common divisor of numbers 448, 658, 384, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 658, 384, 158 is 2.

1. What is the GCD of 448, 658, 384, 158?

GCD of given numbers 448, 658, 384, 158 is 2

2. How to calculate the greatest common divisor of 448, 658, 384, 158?

We can find the highest common divisor of 448, 658, 384, 158 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 448, 658, 384, 158 i.e 2.

3. How can I use the GCD of 448, 658, 384, 158Calculator?

Out the numbers 448, 658, 384, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.