GCD of 879, 264, 174, 735 Calculator

Given Input numbers are 879, 264, 174, 735

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (879, 264, 174, 735) = 3.

Given numbers are 879, 264, 174, 735

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 174 are 2 x 3 x 29

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 879, 264, 174, 735 is 3.

Given numbers are 879, 264, 174, 735

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

Apply this formula for all numbers.

Step1:

LCM(879, 264) = 77352

GCD(879, 264) = ( 879 x 264 ) / 77352

= 879 / 264

= 879

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 879, 264, 174, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 761, 423, 579
• GCD of 158, 342, 340, 384
• GCD of 265, 185, 427, 886
• GCD of 751, 505, 261, 872
• GCD of 905, 440, 226, 983

Given numbers are 879, 264, 174, 735
The greatest common divisor of numbers 879, 264, 174, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 264, 174, 735 is 3.

1. What is the GCD of 879, 264, 174, 735?

GCD of given numbers 879, 264, 174, 735 is 3

2. How to calculate the greatest common divisor of 879, 264, 174, 735?

We can find the highest common divisor of 879, 264, 174, 735 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 879, 264, 174, 735 i.e 3.

3. How can I use the GCD of 879, 264, 174, 735Calculator?

Out the numbers 879, 264, 174, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.