GCD of 120, 756, 834, 909 Calculator

Given Input numbers are 120, 756, 834, 909

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (120, 756, 834, 909) = 3.

Given numbers are 120, 756, 834, 909

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 834 are 2 x 3 x 139

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 120, 756, 834, 909 is 3.

Given numbers are 120, 756, 834, 909

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

Apply this formula for all numbers.

Step1:

LCM(120, 756) = 7560

GCD(120, 756) = ( 120 x 756 ) / 7560

= 120 / 756

= 120

Step2:

LCM(12, 834) = 1668

GCD(12, 834) = ( 12 x 834 ) / 1668

= 12 / 834

= 12

Step3:

LCM(6, 909) = 1818

GCD(6, 909) = ( 6 x 909 ) / 1818

= 6 / 909

= 6

So, Greatest Common Divisor of 120, 756, 834, 909 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 938, 169, 223
• GCD of 629, 620, 393, 301
• GCD of 365, 692, 710, 290
• GCD of 587, 817, 797, 896
• GCD of 453, 291, 724, 180

Given numbers are 120, 756, 834, 909
The greatest common divisor of numbers 120, 756, 834, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 756, 834, 909 is 3.

1. What is the GCD of 120, 756, 834, 909?

GCD of given numbers 120, 756, 834, 909 is 3

2. How to calculate the greatest common divisor of 120, 756, 834, 909?

We can find the highest common divisor of 120, 756, 834, 909 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 120, 756, 834, 909 i.e 3.

3. How can I use the GCD of 120, 756, 834, 909Calculator?

Out the numbers 120, 756, 834, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.