GCD of 829, 676, 852, 986 Calculator

Given Input numbers are 829, 676, 852, 986

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (829, 676, 852, 986) = 1.

Given numbers are 829, 676, 852, 986

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 829, 676, 852, 986

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

Apply this formula for all numbers.

Step1:

LCM(829, 676) = 560404

GCD(829, 676) = ( 829 x 676 ) / 560404

= 829 / 676

= 829

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 829, 676, 852, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 413, 151, 604
• GCD of 443, 615, 209, 931
• GCD of 212, 197, 370, 528
• GCD of 321, 490, 277, 876
• GCD of 308, 157, 610, 276

Given numbers are 829, 676, 852, 986
The greatest common divisor of numbers 829, 676, 852, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 676, 852, 986 is 1.

1. What is the GCD of 829, 676, 852, 986?

GCD of given numbers 829, 676, 852, 986 is 1

2. How to calculate the greatest common divisor of 829, 676, 852, 986?

We can find the highest common divisor of 829, 676, 852, 986 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, 676, 852, 986 i.e 1.

3. How can I use the GCD of 829, 676, 852, 986Calculator?

Out the numbers 829, 676, 852, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.