GCD of 426, 189, 378, 898 Calculator

Given Input numbers are 426, 189, 378, 898

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (426, 189, 378, 898) = 1.

Given numbers are 426, 189, 378, 898

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 898 are 2 x 449

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

Given numbers are 426, 189, 378, 898

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

Apply this formula for all numbers.

Step1:

LCM(426, 189) = 26838

GCD(426, 189) = ( 426 x 189 ) / 26838

= 426 / 189

= 426

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

Step3:

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

= 3 / 898

= 3

So, Greatest Common Divisor of 426, 189, 378, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 379, 418, 530
• GCD of 981, 429, 721, 116
• GCD of 394, 522, 734, 829
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• GCD of 260, 384, 397, 741

Given numbers are 426, 189, 378, 898
The greatest common divisor of numbers 426, 189, 378, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 189, 378, 898 is 1.

1. What is the GCD of 426, 189, 378, 898?

GCD of given numbers 426, 189, 378, 898 is 1

2. How to calculate the greatest common divisor of 426, 189, 378, 898?

We can find the highest common divisor of 426, 189, 378, 898 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 426, 189, 378, 898 i.e 1.

3. How can I use the GCD of 426, 189, 378, 898Calculator?

Out the numbers 426, 189, 378, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.