GCD of 189, 938, 798, 354 Calculator

Given Input numbers are 189, 938, 798, 354

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (189, 938, 798, 354) = 1.

Given numbers are 189, 938, 798, 354

The list of prime factors of all numbers are

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 354 are 2 x 3 x 59

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

Given numbers are 189, 938, 798, 354

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

Apply this formula for all numbers.

Step1:

LCM(189, 938) = 25326

GCD(189, 938) = ( 189 x 938 ) / 25326

= 189 / 938

= 189

Step2:

LCM(7, 798) = 798

GCD(7, 798) = ( 7 x 798 ) / 798

= 7 / 798

= 7

Step3:

LCM(7, 354) = 2478

GCD(7, 354) = ( 7 x 354 ) / 2478

= 7 / 354

= 7

So, Greatest Common Divisor of 189, 938, 798, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 944, 755, 776
• GCD of 635, 973, 855, 873
• GCD of 157, 432, 365, 903
• GCD of 210, 993, 532, 633
• GCD of 633, 469, 119, 863

Given numbers are 189, 938, 798, 354
The greatest common divisor of numbers 189, 938, 798, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 938, 798, 354 is 1.

1. What is the GCD of 189, 938, 798, 354?

GCD of given numbers 189, 938, 798, 354 is 1

2. How to calculate the greatest common divisor of 189, 938, 798, 354?

We can find the highest common divisor of 189, 938, 798, 354 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, 938, 798, 354 i.e 1.

3. How can I use the GCD of 189, 938, 798, 354Calculator?

Out the numbers 189, 938, 798, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.