GCD of 546, 730, 668, 120 Calculator

Given Input numbers are 546, 730, 668, 120

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

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

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 (546, 730, 668, 120) = 2.

Given numbers are 546, 730, 668, 120

The list of prime factors of all numbers are

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 730 are 2 x 5 x 73

Prime factors of 668 are 2 x 2 x 167

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

The highest common occurrence is 2¹

Therefore, GCD of 546, 730, 668, 120 is 2.

Given numbers are 546, 730, 668, 120

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

Apply this formula for all numbers.

Step1:

LCM(546, 730) = 199290

GCD(546, 730) = ( 546 x 730 ) / 199290

= 546 / 730

= 546

Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 546, 730, 668, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 916, 596, 699
• GCD of 978, 581, 265, 518
• GCD of 419, 303, 631, 640
• GCD of 459, 948, 336, 810
• GCD of 465, 607, 119, 216

Given numbers are 546, 730, 668, 120
The greatest common divisor of numbers 546, 730, 668, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 730, 668, 120 is 2.

1. What is the GCD of 546, 730, 668, 120?

GCD of given numbers 546, 730, 668, 120 is 2

2. How to calculate the greatest common divisor of 546, 730, 668, 120?

We can find the highest common divisor of 546, 730, 668, 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 546, 730, 668, 120 i.e 2.

3. How can I use the GCD of 546, 730, 668, 120Calculator?

Out the numbers 546, 730, 668, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.