GCD of 914, 130, 996, 438 Calculator

Given Input numbers are 914, 130, 996, 438

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (914, 130, 996, 438) = 2.

Given numbers are 914, 130, 996, 438

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 130 are 2 x 5 x 13

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 914, 130, 996, 438 is 2.

Given numbers are 914, 130, 996, 438

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

Apply this formula for all numbers.

Step1:

LCM(914, 130) = 59410

GCD(914, 130) = ( 914 x 130 ) / 59410

= 914 / 130

= 914

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 914, 130, 996, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 392, 751, 732
• GCD of 388, 747, 814, 792
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• GCD of 787, 836, 612, 486

Given numbers are 914, 130, 996, 438
The greatest common divisor of numbers 914, 130, 996, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 130, 996, 438 is 2.

1. What is the GCD of 914, 130, 996, 438?

GCD of given numbers 914, 130, 996, 438 is 2

2. How to calculate the greatest common divisor of 914, 130, 996, 438?

We can find the highest common divisor of 914, 130, 996, 438 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 914, 130, 996, 438 i.e 2.

3. How can I use the GCD of 914, 130, 996, 438Calculator?

Out the numbers 914, 130, 996, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.