GCD of 756, 190, 646, 120 Calculator

Given Input numbers are 756, 190, 646, 120

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

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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

GCD of numbers is the greatest common divisor

So, the GCD (756, 190, 646, 120) = 2.

Given numbers are 756, 190, 646, 120

The list of prime factors of all numbers are

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

Prime factors of 190 are 2 x 5 x 19

Prime factors of 646 are 2 x 17 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 756, 190, 646, 120 is 2.

Given numbers are 756, 190, 646, 120

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

Apply this formula for all numbers.

Step1:

LCM(756, 190) = 71820

GCD(756, 190) = ( 756 x 190 ) / 71820

= 756 / 190

= 756

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 756, 190, 646, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 585, 205, 625
• GCD of 594, 121, 858, 237
• GCD of 564, 823, 786, 792
• GCD of 677, 579, 720, 494
• GCD of 845, 809, 507, 661

Given numbers are 756, 190, 646, 120
The greatest common divisor of numbers 756, 190, 646, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 190, 646, 120 is 2.

1. What is the GCD of 756, 190, 646, 120?

GCD of given numbers 756, 190, 646, 120 is 2

2. How to calculate the greatest common divisor of 756, 190, 646, 120?

We can find the highest common divisor of 756, 190, 646, 120 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 756, 190, 646, 120 i.e 2.

3. How can I use the GCD of 756, 190, 646, 120Calculator?

Out the numbers 756, 190, 646, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.