GCD of 106, 134, 354, 994 Calculator

Given Input numbers are 106, 134, 354, 994

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 994 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (106, 134, 354, 994) = 2.

Given numbers are 106, 134, 354, 994

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 134 are 2 x 67

Prime factors of 354 are 2 x 3 x 59

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 106, 134, 354, 994 is 2.

Given numbers are 106, 134, 354, 994

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

Apply this formula for all numbers.

Step1:

LCM(106, 134) = 7102

GCD(106, 134) = ( 106 x 134 ) / 7102

= 106 / 134

= 106

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 106, 134, 354, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 178, 258, 900
• GCD of 977, 192, 955, 163
• GCD of 497, 813, 265, 287
• GCD of 917, 738, 307, 541
• GCD of 969, 104, 489, 379

Given numbers are 106, 134, 354, 994
The greatest common divisor of numbers 106, 134, 354, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 134, 354, 994 is 2.

1. What is the GCD of 106, 134, 354, 994?

GCD of given numbers 106, 134, 354, 994 is 2

2. How to calculate the greatest common divisor of 106, 134, 354, 994?

We can find the highest common divisor of 106, 134, 354, 994 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 106, 134, 354, 994 i.e 2.

3. How can I use the GCD of 106, 134, 354, 994Calculator?

Out the numbers 106, 134, 354, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.