GCD of 614, 428, 318, 142 Calculator

Given Input numbers are 614, 428, 318, 142

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (614, 428, 318, 142) = 2.

Given numbers are 614, 428, 318, 142

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 428 are 2 x 2 x 107

Prime factors of 318 are 2 x 3 x 53

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 614, 428, 318, 142 is 2.

Given numbers are 614, 428, 318, 142

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

Apply this formula for all numbers.

Step1:

LCM(614, 428) = 131396

GCD(614, 428) = ( 614 x 428 ) / 131396

= 614 / 428

= 614

Step2:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 614, 428, 318, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 890, 446, 729
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• GCD of 175, 750, 631, 730
• GCD of 473, 115, 766, 722

Given numbers are 614, 428, 318, 142
The greatest common divisor of numbers 614, 428, 318, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 428, 318, 142 is 2.

1. What is the GCD of 614, 428, 318, 142?

GCD of given numbers 614, 428, 318, 142 is 2

2. How to calculate the greatest common divisor of 614, 428, 318, 142?

We can find the highest common divisor of 614, 428, 318, 142 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 614, 428, 318, 142 i.e 2.

3. How can I use the GCD of 614, 428, 318, 142Calculator?

Out the numbers 614, 428, 318, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.