GCD of 898, 342, 668, 678 Calculator

Given Input numbers are 898, 342, 668, 678

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

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (898, 342, 668, 678) = 2.

Given numbers are 898, 342, 668, 678

The list of prime factors of all numbers are

Prime factors of 898 are 2 x 449

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 668 are 2 x 2 x 167

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 898, 342, 668, 678 is 2.

Given numbers are 898, 342, 668, 678

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

Apply this formula for all numbers.

Step1:

LCM(898, 342) = 153558

GCD(898, 342) = ( 898 x 342 ) / 153558

= 898 / 342

= 898

Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 898, 342, 668, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 117, 455, 590
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Given numbers are 898, 342, 668, 678
The greatest common divisor of numbers 898, 342, 668, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 342, 668, 678 is 2.

1. What is the GCD of 898, 342, 668, 678?

GCD of given numbers 898, 342, 668, 678 is 2

2. How to calculate the greatest common divisor of 898, 342, 668, 678?

We can find the highest common divisor of 898, 342, 668, 678 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 898, 342, 668, 678 i.e 2.

3. How can I use the GCD of 898, 342, 668, 678Calculator?

Out the numbers 898, 342, 668, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.