GCD of 829, 700, 897, 996 Calculator

Given Input numbers are 829, 700, 897, 996

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (829, 700, 897, 996) = 1.

Given numbers are 829, 700, 897, 996

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 897 are 3 x 13 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

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

Given numbers are 829, 700, 897, 996

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, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

= 1 / 897

= 1

Step3:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

So, Greatest Common Divisor of 829, 700, 897, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 458, 344, 185
• GCD of 832, 815, 367, 104
• GCD of 880, 487, 815, 634
• GCD of 493, 232, 467, 292
• GCD of 954, 572, 968, 265

Given numbers are 829, 700, 897, 996
The greatest common divisor of numbers 829, 700, 897, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 700, 897, 996 is 1.

1. What is the GCD of 829, 700, 897, 996?

GCD of given numbers 829, 700, 897, 996 is 1

2. How to calculate the greatest common divisor of 829, 700, 897, 996?

We can find the highest common divisor of 829, 700, 897, 996 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, 897, 996 i.e 1.

3. How can I use the GCD of 829, 700, 897, 996Calculator?

Out the numbers 829, 700, 897, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.