GCD of 198, 670, 746, 889 Calculator

Given Input numbers are 198, 670, 746, 889

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

GCD of numbers is the greatest common divisor

So, the GCD (198, 670, 746, 889) = 1.

Given numbers are 198, 670, 746, 889

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 670 are 2 x 5 x 67

Prime factors of 746 are 2 x 373

Prime factors of 889 are 7 x 127

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

Given numbers are 198, 670, 746, 889

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

Apply this formula for all numbers.

Step1:

LCM(198, 670) = 66330

GCD(198, 670) = ( 198 x 670 ) / 66330

= 198 / 670

= 198

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

= 2 / 889

= 2

So, Greatest Common Divisor of 198, 670, 746, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 816, 331, 765
• GCD of 205, 387, 597, 234
• GCD of 936, 574, 842, 462
• GCD of 479, 813, 759, 643
• GCD of 503, 998, 757, 977

Given numbers are 198, 670, 746, 889
The greatest common divisor of numbers 198, 670, 746, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 670, 746, 889 is 1.

1. What is the GCD of 198, 670, 746, 889?

GCD of given numbers 198, 670, 746, 889 is 1

2. How to calculate the greatest common divisor of 198, 670, 746, 889?

We can find the highest common divisor of 198, 670, 746, 889 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 198, 670, 746, 889 i.e 1.

3. How can I use the GCD of 198, 670, 746, 889Calculator?

Out the numbers 198, 670, 746, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.