GCD of 620, 332, 144, 314 Calculator

Given Input numbers are 620, 332, 144, 314

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

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (620, 332, 144, 314) = 2.

Given numbers are 620, 332, 144, 314

The list of prime factors of all numbers are

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 332 are 2 x 2 x 83

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 620, 332, 144, 314 is 2.

Given numbers are 620, 332, 144, 314

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

Apply this formula for all numbers.

Step1:

LCM(620, 332) = 51460

GCD(620, 332) = ( 620 x 332 ) / 51460

= 620 / 332

= 620

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

= 4 / 314

= 4

So, Greatest Common Divisor of 620, 332, 144, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 788, 166, 255
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Given numbers are 620, 332, 144, 314
The greatest common divisor of numbers 620, 332, 144, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 332, 144, 314 is 2.

1. What is the GCD of 620, 332, 144, 314?

GCD of given numbers 620, 332, 144, 314 is 2

2. How to calculate the greatest common divisor of 620, 332, 144, 314?

We can find the highest common divisor of 620, 332, 144, 314 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 620, 332, 144, 314 i.e 2.

3. How can I use the GCD of 620, 332, 144, 314Calculator?

Out the numbers 620, 332, 144, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.