GCD of 118, 994, 628, 414 Calculator

Given Input numbers are 118, 994, 628, 414

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (118, 994, 628, 414) = 2.

Given numbers are 118, 994, 628, 414

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 994 are 2 x 7 x 71

Prime factors of 628 are 2 x 2 x 157

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 118, 994, 628, 414 is 2.

Given numbers are 118, 994, 628, 414

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

Apply this formula for all numbers.

Step1:

LCM(118, 994) = 58646

GCD(118, 994) = ( 118 x 994 ) / 58646

= 118 / 994

= 118

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 118, 994, 628, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 708, 406, 330
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• GCD of 337, 354, 478, 905

Given numbers are 118, 994, 628, 414
The greatest common divisor of numbers 118, 994, 628, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 994, 628, 414 is 2.

1. What is the GCD of 118, 994, 628, 414?

GCD of given numbers 118, 994, 628, 414 is 2

2. How to calculate the greatest common divisor of 118, 994, 628, 414?

We can find the highest common divisor of 118, 994, 628, 414 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 118, 994, 628, 414 i.e 2.

3. How can I use the GCD of 118, 994, 628, 414Calculator?

Out the numbers 118, 994, 628, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.