GCD of 709, 114, 684, 825 Calculator

Given Input numbers are 709, 114, 684, 825

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

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 (709, 114, 684, 825) = 1.

Given numbers are 709, 114, 684, 825

The list of prime factors of all numbers are

Prime factors of 709 are 709

Prime factors of 114 are 2 x 3 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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 709, 114, 684, 825

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

Apply this formula for all numbers.

Step1:

LCM(709, 114) = 80826

GCD(709, 114) = ( 709 x 114 ) / 80826

= 709 / 114

= 709

Step2:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

Step3:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 709, 114, 684, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 841, 989, 336
• GCD of 313, 427, 946, 459
• GCD of 702, 567, 843, 658
• GCD of 337, 936, 556, 853
• GCD of 441, 159, 755, 922

Given numbers are 709, 114, 684, 825
The greatest common divisor of numbers 709, 114, 684, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 709, 114, 684, 825 is 1.

1. What is the GCD of 709, 114, 684, 825?

GCD of given numbers 709, 114, 684, 825 is 1

2. How to calculate the greatest common divisor of 709, 114, 684, 825?

We can find the highest common divisor of 709, 114, 684, 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 709, 114, 684, 825 i.e 1.

3. How can I use the GCD of 709, 114, 684, 825Calculator?

Out the numbers 709, 114, 684, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.