GCD of 189, 414, 376, 711 Calculator

Given Input numbers are 189, 414, 376, 711

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (189, 414, 376, 711) = 1.

Given numbers are 189, 414, 376, 711

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 711 are 3 x 3 x 79

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

Given numbers are 189, 414, 376, 711

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

Apply this formula for all numbers.

Step1:

LCM(189, 414) = 8694

GCD(189, 414) = ( 189 x 414 ) / 8694

= 189 / 414

= 189

Step2:

LCM(9, 376) = 3384

GCD(9, 376) = ( 9 x 376 ) / 3384

= 9 / 376

= 9

Step3:

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

= 1 / 711

= 1

So, Greatest Common Divisor of 189, 414, 376, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 627, 103, 283
• GCD of 343, 185, 746, 550
• GCD of 273, 952, 595, 973
• GCD of 455, 748, 399, 722
• GCD of 353, 531, 781, 463

Given numbers are 189, 414, 376, 711
The greatest common divisor of numbers 189, 414, 376, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 414, 376, 711 is 1.

1. What is the GCD of 189, 414, 376, 711?

GCD of given numbers 189, 414, 376, 711 is 1

2. How to calculate the greatest common divisor of 189, 414, 376, 711?

We can find the highest common divisor of 189, 414, 376, 711 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, 414, 376, 711 i.e 1.

3. How can I use the GCD of 189, 414, 376, 711Calculator?

Out the numbers 189, 414, 376, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.