GCD of 874, 120, 384, 858 Calculator

Given Input numbers are 874, 120, 384, 858

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (874, 120, 384, 858) = 2.

Given numbers are 874, 120, 384, 858

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 874, 120, 384, 858 is 2.

Given numbers are 874, 120, 384, 858

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

Apply this formula for all numbers.

Step1:

LCM(874, 120) = 52440

GCD(874, 120) = ( 874 x 120 ) / 52440

= 874 / 120

= 874

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 874, 120, 384, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 751, 736, 666
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• GCD of 401, 754, 609, 590
• GCD of 671, 414, 895, 459
• GCD of 902, 886, 680, 312

Given numbers are 874, 120, 384, 858
The greatest common divisor of numbers 874, 120, 384, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 120, 384, 858 is 2.

1. What is the GCD of 874, 120, 384, 858?

GCD of given numbers 874, 120, 384, 858 is 2

2. How to calculate the greatest common divisor of 874, 120, 384, 858?

We can find the highest common divisor of 874, 120, 384, 858 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 874, 120, 384, 858 i.e 2.

3. How can I use the GCD of 874, 120, 384, 858Calculator?

Out the numbers 874, 120, 384, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.