GCD of 189, 654, 678, 546 Calculator

Given Input numbers are 189, 654, 678, 546

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

Divisors of 189 :

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

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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

GCD of numbers is the greatest common divisor

So, the GCD (189, 654, 678, 546) = 3.

Given numbers are 189, 654, 678, 546

The list of prime factors of all numbers are

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 678 are 2 x 3 x 113

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

The highest common occurrence is 3¹

Therefore, GCD of 189, 654, 678, 546 is 3.

Given numbers are 189, 654, 678, 546

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

Apply this formula for all numbers.

Step1:

LCM(189, 654) = 41202

GCD(189, 654) = ( 189 x 654 ) / 41202

= 189 / 654

= 189

Step2:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

Step3:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

So, Greatest Common Divisor of 189, 654, 678, 546 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 887, 506, 372
• GCD of 454, 463, 695, 773
• GCD of 734, 457, 539, 462
• GCD of 448, 792, 786, 637
• GCD of 739, 338, 942, 731

Given numbers are 189, 654, 678, 546
The greatest common divisor of numbers 189, 654, 678, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 654, 678, 546 is 3.

1. What is the GCD of 189, 654, 678, 546?

GCD of given numbers 189, 654, 678, 546 is 3

2. How to calculate the greatest common divisor of 189, 654, 678, 546?

We can find the highest common divisor of 189, 654, 678, 546 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 189, 654, 678, 546 i.e 3.

3. How can I use the GCD of 189, 654, 678, 546Calculator?

Out the numbers 189, 654, 678, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.