GCD of 440, 626, 988, 314 Calculator

Given Input numbers are 440, 626, 988, 314

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (440, 626, 988, 314) = 2.

Given numbers are 440, 626, 988, 314

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 626 are 2 x 313

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 440, 626, 988, 314 is 2.

Given numbers are 440, 626, 988, 314

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

Apply this formula for all numbers.

Step1:

LCM(440, 626) = 137720

GCD(440, 626) = ( 440 x 626 ) / 137720

= 440 / 626

= 440

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 440, 626, 988, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 793, 749, 603
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• GCD of 195, 925, 322, 865

Given numbers are 440, 626, 988, 314
The greatest common divisor of numbers 440, 626, 988, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 626, 988, 314 is 2.

1. What is the GCD of 440, 626, 988, 314?

GCD of given numbers 440, 626, 988, 314 is 2

2. How to calculate the greatest common divisor of 440, 626, 988, 314?

We can find the highest common divisor of 440, 626, 988, 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 440, 626, 988, 314 i.e 2.

3. How can I use the GCD of 440, 626, 988, 314Calculator?

Out the numbers 440, 626, 988, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.