GCD of 189, 280, 325, 298 Calculator

Given Input numbers are 189, 280, 325, 298

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (189, 280, 325, 298) = 1.

Given numbers are 189, 280, 325, 298

The list of prime factors of all numbers are

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 325 are 5 x 5 x 13

Prime factors of 298 are 2 x 149

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

Given numbers are 189, 280, 325, 298

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

Apply this formula for all numbers.

Step1:

LCM(189, 280) = 7560

GCD(189, 280) = ( 189 x 280 ) / 7560

= 189 / 280

= 189

Step2:

LCM(7, 325) = 2275

GCD(7, 325) = ( 7 x 325 ) / 2275

= 7 / 325

= 7

Step3:

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

= 1 / 298

= 1

So, Greatest Common Divisor of 189, 280, 325, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 721, 966, 811
• GCD of 603, 500, 692, 312
• GCD of 517, 899, 847, 170
• GCD of 987, 656, 713, 606
• GCD of 175, 965, 154, 706

Given numbers are 189, 280, 325, 298
The greatest common divisor of numbers 189, 280, 325, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 280, 325, 298 is 1.

1. What is the GCD of 189, 280, 325, 298?

GCD of given numbers 189, 280, 325, 298 is 1

2. How to calculate the greatest common divisor of 189, 280, 325, 298?

We can find the highest common divisor of 189, 280, 325, 298 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, 280, 325, 298 i.e 1.

3. How can I use the GCD of 189, 280, 325, 298Calculator?

Out the numbers 189, 280, 325, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.