GCD of 546, 138, 725, 660 Calculator

Given Input numbers are 546, 138, 725, 660

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (546, 138, 725, 660) = 1.

Given numbers are 546, 138, 725, 660

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 725 are 5 x 5 x 29

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 546, 138, 725, 660

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

Apply this formula for all numbers.

Step1:

LCM(546, 138) = 12558

GCD(546, 138) = ( 546 x 138 ) / 12558

= 546 / 138

= 546

Step2:

LCM(6, 725) = 4350

GCD(6, 725) = ( 6 x 725 ) / 4350

= 6 / 725

= 6

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 546, 138, 725, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 227, 891, 573
• GCD of 190, 345, 878, 243
• GCD of 558, 429, 979, 779
• GCD of 395, 148, 266, 605
• GCD of 505, 806, 720, 393

Given numbers are 546, 138, 725, 660
The greatest common divisor of numbers 546, 138, 725, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 138, 725, 660 is 1.

1. What is the GCD of 546, 138, 725, 660?

GCD of given numbers 546, 138, 725, 660 is 1

2. How to calculate the greatest common divisor of 546, 138, 725, 660?

We can find the highest common divisor of 546, 138, 725, 660 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, 138, 725, 660 i.e 1.

3. How can I use the GCD of 546, 138, 725, 660Calculator?

Out the numbers 546, 138, 725, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.