GCD of 189, 975, 226, 988 Calculator

Given Input numbers are 189, 975, 226, 988

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (189, 975, 226, 988) = 1.

Given numbers are 189, 975, 226, 988

The list of prime factors of all numbers are

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 226 are 2 x 113

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 189, 975, 226, 988

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

Apply this formula for all numbers.

Step1:

LCM(189, 975) = 61425

GCD(189, 975) = ( 189 x 975 ) / 61425

= 189 / 975

= 189

Step2:

LCM(3, 226) = 678

GCD(3, 226) = ( 3 x 226 ) / 678

= 3 / 226

= 3

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 189, 975, 226, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 594, 954, 179
• GCD of 691, 272, 676, 551
• GCD of 816, 127, 538, 140
• GCD of 804, 363, 771, 330
• GCD of 254, 408, 892, 974

Given numbers are 189, 975, 226, 988
The greatest common divisor of numbers 189, 975, 226, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 975, 226, 988 is 1.

1. What is the GCD of 189, 975, 226, 988?

GCD of given numbers 189, 975, 226, 988 is 1

2. How to calculate the greatest common divisor of 189, 975, 226, 988?

We can find the highest common divisor of 189, 975, 226, 988 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, 975, 226, 988 i.e 1.

3. How can I use the GCD of 189, 975, 226, 988Calculator?

Out the numbers 189, 975, 226, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.