GCD of 428, 180, 546, 495 Calculator

Given Input numbers are 428, 180, 546, 495

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (428, 180, 546, 495) = 1.

Given numbers are 428, 180, 546, 495

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

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

Prime factors of 495 are 3 x 3 x 5 x 11

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

Given numbers are 428, 180, 546, 495

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

Apply this formula for all numbers.

Step1:

LCM(428, 180) = 19260

GCD(428, 180) = ( 428 x 180 ) / 19260

= 428 / 180

= 428

Step2:

LCM(4, 546) = 1092

GCD(4, 546) = ( 4 x 546 ) / 1092

= 4 / 546

= 4

Step3:

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

= 2 / 495

= 2

So, Greatest Common Divisor of 428, 180, 546, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 145, 126, 902
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Given numbers are 428, 180, 546, 495
The greatest common divisor of numbers 428, 180, 546, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 180, 546, 495 is 1.

1. What is the GCD of 428, 180, 546, 495?

GCD of given numbers 428, 180, 546, 495 is 1

2. How to calculate the greatest common divisor of 428, 180, 546, 495?

We can find the highest common divisor of 428, 180, 546, 495 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 428, 180, 546, 495 i.e 1.

3. How can I use the GCD of 428, 180, 546, 495Calculator?

Out the numbers 428, 180, 546, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.