GCD of 772, 899, 118, 106 Calculator

Given Input numbers are 772, 899, 118, 106

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 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (772, 899, 118, 106) = 1.

Given numbers are 772, 899, 118, 106

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 899 are 29 x 31

Prime factors of 118 are 2 x 59

Prime factors of 106 are 2 x 53

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

Given numbers are 772, 899, 118, 106

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

Apply this formula for all numbers.

Step1:

LCM(772, 899) = 694028

GCD(772, 899) = ( 772 x 899 ) / 694028

= 772 / 899

= 772

Step2:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

Step3:

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

= 1 / 106

= 1

So, Greatest Common Divisor of 772, 899, 118, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 342, 988, 639
• GCD of 351, 449, 323, 105
• GCD of 518, 218, 495, 337
• GCD of 223, 825, 359, 516
• GCD of 846, 969, 992, 922

Given numbers are 772, 899, 118, 106
The greatest common divisor of numbers 772, 899, 118, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 899, 118, 106 is 1.

1. What is the GCD of 772, 899, 118, 106?

GCD of given numbers 772, 899, 118, 106 is 1

2. How to calculate the greatest common divisor of 772, 899, 118, 106?

We can find the highest common divisor of 772, 899, 118, 106 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, 899, 118, 106 i.e 1.

3. How can I use the GCD of 772, 899, 118, 106Calculator?

Out the numbers 772, 899, 118, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.