GCD of 858, 960, 428, 274 Calculator

Given Input numbers are 858, 960, 428, 274

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

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (858, 960, 428, 274) = 2.

Given numbers are 858, 960, 428, 274

The list of prime factors of all numbers are

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 428 are 2 x 2 x 107

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 858, 960, 428, 274 is 2.

Given numbers are 858, 960, 428, 274

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

Apply this formula for all numbers.

Step1:

LCM(858, 960) = 137280

GCD(858, 960) = ( 858 x 960 ) / 137280

= 858 / 960

= 858

Step2:

LCM(6, 428) = 1284

GCD(6, 428) = ( 6 x 428 ) / 1284

= 6 / 428

= 6

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 858, 960, 428, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 297, 223, 605
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• GCD of 763, 873, 996, 908
• GCD of 759, 639, 223, 468
• GCD of 956, 609, 438, 831

Given numbers are 858, 960, 428, 274
The greatest common divisor of numbers 858, 960, 428, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 960, 428, 274 is 2.

1. What is the GCD of 858, 960, 428, 274?

GCD of given numbers 858, 960, 428, 274 is 2

2. How to calculate the greatest common divisor of 858, 960, 428, 274?

We can find the highest common divisor of 858, 960, 428, 274 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 858, 960, 428, 274 i.e 2.

3. How can I use the GCD of 858, 960, 428, 274Calculator?

Out the numbers 858, 960, 428, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.