GCD of 900, 774, 676, 106 Calculator

Given Input numbers are 900, 774, 676, 106

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 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 (900, 774, 676, 106) = 2.

Given numbers are 900, 774, 676, 106

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 774 are 2 x 3 x 3 x 43

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

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 900, 774, 676, 106 is 2.

Given numbers are 900, 774, 676, 106

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

Apply this formula for all numbers.

Step1:

LCM(900, 774) = 38700

GCD(900, 774) = ( 900 x 774 ) / 38700

= 900 / 774

= 900

Step2:

LCM(18, 676) = 6084

GCD(18, 676) = ( 18 x 676 ) / 6084

= 18 / 676

= 18

Step3:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 900, 774, 676, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 605, 442, 542
• GCD of 672, 190, 389, 569
• GCD of 988, 444, 233, 869
• GCD of 647, 295, 144, 433
• GCD of 822, 207, 275, 762

Given numbers are 900, 774, 676, 106
The greatest common divisor of numbers 900, 774, 676, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 774, 676, 106 is 2.

1. What is the GCD of 900, 774, 676, 106?

GCD of given numbers 900, 774, 676, 106 is 2

2. How to calculate the greatest common divisor of 900, 774, 676, 106?

We can find the highest common divisor of 900, 774, 676, 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 900, 774, 676, 106 i.e 2.

3. How can I use the GCD of 900, 774, 676, 106Calculator?

Out the numbers 900, 774, 676, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.