GCD of 546, 100, 375, 492 Calculator

Given Input numbers are 546, 100, 375, 492

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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

GCD of numbers is the greatest common divisor

So, the GCD (546, 100, 375, 492) = 1.

Given numbers are 546, 100, 375, 492

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 375 are 3 x 5 x 5 x 5

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

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

Given numbers are 546, 100, 375, 492

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

Apply this formula for all numbers.

Step1:

LCM(546, 100) = 27300

GCD(546, 100) = ( 546 x 100 ) / 27300

= 546 / 100

= 546

Step2:

LCM(2, 375) = 750

GCD(2, 375) = ( 2 x 375 ) / 750

= 2 / 375

= 2

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 546, 100, 375, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 708, 314, 677
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Given numbers are 546, 100, 375, 492
The greatest common divisor of numbers 546, 100, 375, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 100, 375, 492 is 1.

1. What is the GCD of 546, 100, 375, 492?

GCD of given numbers 546, 100, 375, 492 is 1

2. How to calculate the greatest common divisor of 546, 100, 375, 492?

We can find the highest common divisor of 546, 100, 375, 492 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, 100, 375, 492 i.e 1.

3. How can I use the GCD of 546, 100, 375, 492Calculator?

Out the numbers 546, 100, 375, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.