GCD of 920, 384, 478, 142 Calculator

Given Input numbers are 920, 384, 478, 142

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (920, 384, 478, 142) = 2.

Given numbers are 920, 384, 478, 142

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Prime factors of 478 are 2 x 239

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 920, 384, 478, 142 is 2.

Given numbers are 920, 384, 478, 142

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

Apply this formula for all numbers.

Step1:

LCM(920, 384) = 44160

GCD(920, 384) = ( 920 x 384 ) / 44160

= 920 / 384

= 920

Step2:

LCM(8, 478) = 1912

GCD(8, 478) = ( 8 x 478 ) / 1912

= 8 / 478

= 8

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 920, 384, 478, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 298, 872, 375
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• GCD of 941, 613, 961, 405
• GCD of 338, 237, 933, 914
• GCD of 984, 597, 699, 564

Given numbers are 920, 384, 478, 142
The greatest common divisor of numbers 920, 384, 478, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 384, 478, 142 is 2.

1. What is the GCD of 920, 384, 478, 142?

GCD of given numbers 920, 384, 478, 142 is 2

2. How to calculate the greatest common divisor of 920, 384, 478, 142?

We can find the highest common divisor of 920, 384, 478, 142 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 920, 384, 478, 142 i.e 2.

3. How can I use the GCD of 920, 384, 478, 142Calculator?

Out the numbers 920, 384, 478, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.