GCD of 480, 376, 238, 914 Calculator

Given Input numbers are 480, 376, 238, 914

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 238 :

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

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (480, 376, 238, 914) = 2.

Given numbers are 480, 376, 238, 914

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 238 are 2 x 7 x 17

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 480, 376, 238, 914 is 2.

Given numbers are 480, 376, 238, 914

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

Apply this formula for all numbers.

Step1:

LCM(480, 376) = 22560

GCD(480, 376) = ( 480 x 376 ) / 22560

= 480 / 376

= 480

Step2:

LCM(8, 238) = 952

GCD(8, 238) = ( 8 x 238 ) / 952

= 8 / 238

= 8

Step3:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

So, Greatest Common Divisor of 480, 376, 238, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 257, 828, 987
• GCD of 880, 925, 275, 486
• GCD of 982, 100, 229, 483
• GCD of 694, 131, 638, 579
• GCD of 237, 582, 945, 915

Given numbers are 480, 376, 238, 914
The greatest common divisor of numbers 480, 376, 238, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 376, 238, 914 is 2.

1. What is the GCD of 480, 376, 238, 914?

GCD of given numbers 480, 376, 238, 914 is 2

2. How to calculate the greatest common divisor of 480, 376, 238, 914?

We can find the highest common divisor of 480, 376, 238, 914 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 480, 376, 238, 914 i.e 2.

3. How can I use the GCD of 480, 376, 238, 914Calculator?

Out the numbers 480, 376, 238, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.