GCD of 714, 719, 918, 825 Calculator

Given Input numbers are 714, 719, 918, 825

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

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

Divisors of 719 :

The positive integer divisors of 719 that completely divides 719 are.

1, 719

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (714, 719, 918, 825) = 1.

Given numbers are 714, 719, 918, 825

The list of prime factors of all numbers are

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

Prime factors of 719 are 719

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 714, 719, 918, 825

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

Apply this formula for all numbers.

Step1:

LCM(714, 719) = 513366

GCD(714, 719) = ( 714 x 719 ) / 513366

= 714 / 719

= 714

Step2:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 714, 719, 918, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 939, 526, 383
• GCD of 997, 618, 327, 542
• GCD of 478, 412, 414, 319
• GCD of 918, 570, 923, 925
• GCD of 351, 779, 669, 213

Given numbers are 714, 719, 918, 825
The greatest common divisor of numbers 714, 719, 918, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 719, 918, 825 is 1.

1. What is the GCD of 714, 719, 918, 825?

GCD of given numbers 714, 719, 918, 825 is 1

2. How to calculate the greatest common divisor of 714, 719, 918, 825?

We can find the highest common divisor of 714, 719, 918, 825 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 714, 719, 918, 825 i.e 1.

3. How can I use the GCD of 714, 719, 918, 825Calculator?

Out the numbers 714, 719, 918, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.