GCD of 696, 735, 720, 390 Calculator

Given Input numbers are 696, 735, 720, 390

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 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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (696, 735, 720, 390) = 3.

Given numbers are 696, 735, 720, 390

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 735 are 3 x 5 x 7 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 696, 735, 720, 390 is 3.

Given numbers are 696, 735, 720, 390

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

Apply this formula for all numbers.

Step1:

LCM(696, 735) = 170520

GCD(696, 735) = ( 696 x 735 ) / 170520

= 696 / 735

= 696

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

So, Greatest Common Divisor of 696, 735, 720, 390 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 717, 887, 241
• GCD of 813, 985, 594, 974
• GCD of 392, 476, 371, 611
• GCD of 179, 397, 635, 815
• GCD of 678, 885, 158, 175

Given numbers are 696, 735, 720, 390
The greatest common divisor of numbers 696, 735, 720, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 735, 720, 390 is 3.

1. What is the GCD of 696, 735, 720, 390?

GCD of given numbers 696, 735, 720, 390 is 3

2. How to calculate the greatest common divisor of 696, 735, 720, 390?

We can find the highest common divisor of 696, 735, 720, 390 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, 735, 720, 390 i.e 3.

3. How can I use the GCD of 696, 735, 720, 390Calculator?

Out the numbers 696, 735, 720, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.