GCD of 696, 207, 375, 714 Calculator

Given Input numbers are 696, 207, 375, 714

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

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 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 375 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (696, 207, 375, 714) = 3.

Given numbers are 696, 207, 375, 714

The list of prime factors of all numbers are

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

Prime factors of 207 are 3 x 3 x 23

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

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

The highest common occurrence is 3¹

Therefore, GCD of 696, 207, 375, 714 is 3.

Given numbers are 696, 207, 375, 714

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

Apply this formula for all numbers.

Step1:

LCM(696, 207) = 48024

GCD(696, 207) = ( 696 x 207 ) / 48024

= 696 / 207

= 696

Step2:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

Step3:

LCM(3, 714) = 714

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

= 3 / 714

= 3

So, Greatest Common Divisor of 696, 207, 375, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 239, 184, 871
• GCD of 767, 170, 275, 803
• GCD of 284, 587, 683, 661
• GCD of 452, 650, 855, 590
• GCD of 725, 670, 413, 629

Given numbers are 696, 207, 375, 714
The greatest common divisor of numbers 696, 207, 375, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 207, 375, 714 is 3.

1. What is the GCD of 696, 207, 375, 714?

GCD of given numbers 696, 207, 375, 714 is 3

2. How to calculate the greatest common divisor of 696, 207, 375, 714?

We can find the highest common divisor of 696, 207, 375, 714 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 696, 207, 375, 714 i.e 3.

3. How can I use the GCD of 696, 207, 375, 714Calculator?

Out the numbers 696, 207, 375, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.