GCD of 375, 696, 735, 879 Calculator

Given Input numbers are 375, 696, 735, 879

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

Divisors of 879 :

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

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (375, 696, 735, 879) = 3.

Given numbers are 375, 696, 735, 879

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

Prime factors of 879 are 3 x 293

The highest common occurrence is 3¹

Therefore, GCD of 375, 696, 735, 879 is 3.

Given numbers are 375, 696, 735, 879

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

Apply this formula for all numbers.

Step1:

LCM(375, 696) = 87000

GCD(375, 696) = ( 375 x 696 ) / 87000

= 375 / 696

= 375

Step2:

LCM(3, 735) = 735

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

= 3 / 735

= 3

Step3:

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

= 3 / 879

= 3

So, Greatest Common Divisor of 375, 696, 735, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 114, 495, 305
• GCD of 441, 554, 498, 955
• GCD of 868, 766, 610, 298
• GCD of 279, 491, 751, 829
• GCD of 731, 729, 920, 460

Given numbers are 375, 696, 735, 879
The greatest common divisor of numbers 375, 696, 735, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 696, 735, 879 is 3.

1. What is the GCD of 375, 696, 735, 879?

GCD of given numbers 375, 696, 735, 879 is 3

2. How to calculate the greatest common divisor of 375, 696, 735, 879?

We can find the highest common divisor of 375, 696, 735, 879 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 375, 696, 735, 879 i.e 3.

3. How can I use the GCD of 375, 696, 735, 879Calculator?

Out the numbers 375, 696, 735, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.