GCD of 829, 700, 717, 960 Calculator

Given Input numbers are 829, 700, 717, 960

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (829, 700, 717, 960) = 1.

Given numbers are 829, 700, 717, 960

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 717 are 3 x 239

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 829, 700, 717, 960

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

Apply this formula for all numbers.

Step1:

LCM(829, 700) = 580300

GCD(829, 700) = ( 829 x 700 ) / 580300

= 829 / 700

= 829

Step2:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 829, 700, 717, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 935, 136, 984
• GCD of 325, 864, 657, 477
• GCD of 108, 534, 994, 342
• GCD of 600, 623, 770, 838
• GCD of 243, 898, 950, 119

Given numbers are 829, 700, 717, 960
The greatest common divisor of numbers 829, 700, 717, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 700, 717, 960 is 1.

1. What is the GCD of 829, 700, 717, 960?

GCD of given numbers 829, 700, 717, 960 is 1

2. How to calculate the greatest common divisor of 829, 700, 717, 960?

We can find the highest common divisor of 829, 700, 717, 960 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 829, 700, 717, 960 i.e 1.

3. How can I use the GCD of 829, 700, 717, 960Calculator?

Out the numbers 829, 700, 717, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.