GCD of 492, 546, 721, 180 Calculator

Given Input numbers are 492, 546, 721, 180

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (492, 546, 721, 180) = 1.

Given numbers are 492, 546, 721, 180

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

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

Prime factors of 721 are 7 x 103

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 492, 546, 721, 180

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

Apply this formula for all numbers.

Step1:

LCM(492, 546) = 44772

GCD(492, 546) = ( 492 x 546 ) / 44772

= 492 / 546

= 492

Step2:

LCM(6, 721) = 4326

GCD(6, 721) = ( 6 x 721 ) / 4326

= 6 / 721

= 6

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 492, 546, 721, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 532, 713, 703
• GCD of 534, 916, 402, 612
• GCD of 471, 128, 828, 491
• GCD of 163, 624, 714, 326
• GCD of 642, 118, 427, 426

Given numbers are 492, 546, 721, 180
The greatest common divisor of numbers 492, 546, 721, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 546, 721, 180 is 1.

1. What is the GCD of 492, 546, 721, 180?

GCD of given numbers 492, 546, 721, 180 is 1

2. How to calculate the greatest common divisor of 492, 546, 721, 180?

We can find the highest common divisor of 492, 546, 721, 180 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 492, 546, 721, 180 i.e 1.

3. How can I use the GCD of 492, 546, 721, 180Calculator?

Out the numbers 492, 546, 721, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.