GCD of 546, 742, 18, 130 Calculator

Given Input numbers are 546, 742, 18, 130

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (546, 742, 18, 130) = 2.

Given numbers are 546, 742, 18, 130

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

Prime factors of 18 are 2 x 3 x 3

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 546, 742, 18, 130 is 2.

Given numbers are 546, 742, 18, 130

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

Apply this formula for all numbers.

Step1:

LCM(546, 742) = 28938

GCD(546, 742) = ( 546 x 742 ) / 28938

= 546 / 742

= 546

Step2:

LCM(14, 18) = 126

GCD(14, 18) = ( 14 x 18 ) / 126

= 14 / 18

= 14

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 546, 742, 18, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 128, 72, 727
• GCD of 334, 378, 68, 836
• GCD of 995, 683, 87, 902
• GCD of 638, 915, 37, 290
• GCD of 237, 102, 39, 923

Given numbers are 546, 742, 18, 130
The greatest common divisor of numbers 546, 742, 18, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 742, 18, 130 is 2.

1. What is the GCD of 546, 742, 18, 130?

GCD of given numbers 546, 742, 18, 130 is 2

2. How to calculate the greatest common divisor of 546, 742, 18, 130?

We can find the highest common divisor of 546, 742, 18, 130 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, 742, 18, 130 i.e 2.

3. How can I use the GCD of 546, 742, 18, 130Calculator?

Out the numbers 546, 742, 18, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.