GCD of 189, 746, 748, 187 Calculator

Given Input numbers are 189, 746, 748, 187

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

GCD of numbers is the greatest common divisor

So, the GCD (189, 746, 748, 187) = 1.

Given numbers are 189, 746, 748, 187

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 187 are 11 x 17

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

Given numbers are 189, 746, 748, 187

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

Apply this formula for all numbers.

Step1:

LCM(189, 746) = 140994

GCD(189, 746) = ( 189 x 746 ) / 140994

= 189 / 746

= 189

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1

So, Greatest Common Divisor of 189, 746, 748, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 487, 331, 369
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• GCD of 734, 583, 636, 395
• GCD of 625, 312, 224, 620

Given numbers are 189, 746, 748, 187
The greatest common divisor of numbers 189, 746, 748, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 746, 748, 187 is 1.

1. What is the GCD of 189, 746, 748, 187?

GCD of given numbers 189, 746, 748, 187 is 1

2. How to calculate the greatest common divisor of 189, 746, 748, 187?

We can find the highest common divisor of 189, 746, 748, 187 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, 746, 748, 187 i.e 1.

3. How can I use the GCD of 189, 746, 748, 187Calculator?

Out the numbers 189, 746, 748, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.