GCD of 858, 345, 714, 732 Calculator

Given Input numbers are 858, 345, 714, 732

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (858, 345, 714, 732) = 3.

Given numbers are 858, 345, 714, 732

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 858, 345, 714, 732 is 3.

Given numbers are 858, 345, 714, 732

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

Apply this formula for all numbers.

Step1:

LCM(858, 345) = 98670

GCD(858, 345) = ( 858 x 345 ) / 98670

= 858 / 345

= 858

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 858, 345, 714, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 586, 308, 942
• GCD of 798, 596, 948, 803
• GCD of 129, 742, 157, 215
• GCD of 896, 556, 321, 996
• GCD of 883, 155, 124, 372

Given numbers are 858, 345, 714, 732
The greatest common divisor of numbers 858, 345, 714, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 345, 714, 732 is 3.

1. What is the GCD of 858, 345, 714, 732?

GCD of given numbers 858, 345, 714, 732 is 3

2. How to calculate the greatest common divisor of 858, 345, 714, 732?

We can find the highest common divisor of 858, 345, 714, 732 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, 345, 714, 732 i.e 3.

3. How can I use the GCD of 858, 345, 714, 732Calculator?

Out the numbers 858, 345, 714, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.