GCD of 772, 829, 109, 989 Calculator

Given Input numbers are 772, 829, 109, 989

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 829 :

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

1, 829

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (772, 829, 109, 989) = 1.

Given numbers are 772, 829, 109, 989

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 829 are 829

Prime factors of 109 are 109

Prime factors of 989 are 23 x 43

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

Given numbers are 772, 829, 109, 989

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

Apply this formula for all numbers.

Step1:

LCM(772, 829) = 639988

GCD(772, 829) = ( 772 x 829 ) / 639988

= 772 / 829

= 772

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1

So, Greatest Common Divisor of 772, 829, 109, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 522, 582, 799
• GCD of 787, 180, 795, 732
• GCD of 496, 110, 938, 735
• GCD of 790, 960, 935, 637
• GCD of 857, 236, 400, 295

Given numbers are 772, 829, 109, 989
The greatest common divisor of numbers 772, 829, 109, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 829, 109, 989 is 1.

1. What is the GCD of 772, 829, 109, 989?

GCD of given numbers 772, 829, 109, 989 is 1

2. How to calculate the greatest common divisor of 772, 829, 109, 989?

We can find the highest common divisor of 772, 829, 109, 989 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 772, 829, 109, 989 i.e 1.

3. How can I use the GCD of 772, 829, 109, 989Calculator?

Out the numbers 772, 829, 109, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.