GCD of 542, 986, 825, 189 Calculator

Given Input numbers are 542, 986, 825, 189

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (542, 986, 825, 189) = 1.

Given numbers are 542, 986, 825, 189

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 986 are 2 x 17 x 29

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 542, 986, 825, 189

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

Apply this formula for all numbers.

Step1:

LCM(542, 986) = 267206

GCD(542, 986) = ( 542 x 986 ) / 267206

= 542 / 986

= 542

Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 542, 986, 825, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 327, 117, 608
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Given numbers are 542, 986, 825, 189
The greatest common divisor of numbers 542, 986, 825, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 986, 825, 189 is 1.

1. What is the GCD of 542, 986, 825, 189?

GCD of given numbers 542, 986, 825, 189 is 1

2. How to calculate the greatest common divisor of 542, 986, 825, 189?

We can find the highest common divisor of 542, 986, 825, 189 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 542, 986, 825, 189 i.e 1.

3. How can I use the GCD of 542, 986, 825, 189Calculator?

Out the numbers 542, 986, 825, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.