GCD of 858, 398, 310, 736 Calculator

Given Input numbers are 858, 398, 310, 736

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (858, 398, 310, 736) = 2.

Given numbers are 858, 398, 310, 736

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

Prime factors of 310 are 2 x 5 x 31

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 858, 398, 310, 736 is 2.

Given numbers are 858, 398, 310, 736

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

Apply this formula for all numbers.

Step1:

LCM(858, 398) = 170742

GCD(858, 398) = ( 858 x 398 ) / 170742

= 858 / 398

= 858

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 858, 398, 310, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 675, 945, 873
• GCD of 734, 207, 853, 240
• GCD of 380, 740, 632, 203
• GCD of 169, 721, 153, 611
• GCD of 378, 993, 523, 508

Given numbers are 858, 398, 310, 736
The greatest common divisor of numbers 858, 398, 310, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 398, 310, 736 is 2.

1. What is the GCD of 858, 398, 310, 736?

GCD of given numbers 858, 398, 310, 736 is 2

2. How to calculate the greatest common divisor of 858, 398, 310, 736?

We can find the highest common divisor of 858, 398, 310, 736 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, 398, 310, 736 i.e 2.

3. How can I use the GCD of 858, 398, 310, 736Calculator?

Out the numbers 858, 398, 310, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.