GCD of 345, 699, 615, 861 Calculator

Given Input numbers are 345, 699, 615, 861

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

Divisors of 345 :

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

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 615 :

The positive integer divisors of 615 that completely divides 615 are.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (345, 699, 615, 861) = 3.

Given numbers are 345, 699, 615, 861

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 699 are 3 x 233

Prime factors of 615 are 3 x 5 x 41

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 345, 699, 615, 861 is 3.

Given numbers are 345, 699, 615, 861

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

Apply this formula for all numbers.

Step1:

LCM(345, 699) = 80385

GCD(345, 699) = ( 345 x 699 ) / 80385

= 345 / 699

= 345

Step2:

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

= 3 / 615

= 3

Step3:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 345, 699, 615, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 509, 735, 567
• GCD of 694, 106, 912, 665
• GCD of 466, 111, 538, 808
• GCD of 682, 347, 978, 941
• GCD of 549, 208, 957, 403

Given numbers are 345, 699, 615, 861
The greatest common divisor of numbers 345, 699, 615, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 699, 615, 861 is 3.

1. What is the GCD of 345, 699, 615, 861?

GCD of given numbers 345, 699, 615, 861 is 3

2. How to calculate the greatest common divisor of 345, 699, 615, 861?

We can find the highest common divisor of 345, 699, 615, 861 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 345, 699, 615, 861 i.e 3.

3. How can I use the GCD of 345, 699, 615, 861Calculator?

Out the numbers 345, 699, 615, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.