GCD of 994, 942, 109, 345 Calculator

Given Input numbers are 994, 942, 109, 345

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

Divisors of 994 :

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

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (994, 942, 109, 345) = 1.

Given numbers are 994, 942, 109, 345

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 942 are 2 x 3 x 157

Prime factors of 109 are 109

Prime factors of 345 are 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 994, 942, 109, 345

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

Apply this formula for all numbers.

Step1:

LCM(994, 942) = 468174

GCD(994, 942) = ( 994 x 942 ) / 468174

= 994 / 942

= 994

Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 994, 942, 109, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 267, 496, 213
• GCD of 379, 147, 687, 585
• GCD of 480, 675, 743, 229
• GCD of 802, 302, 233, 119
• GCD of 504, 343, 477, 624

Given numbers are 994, 942, 109, 345
The greatest common divisor of numbers 994, 942, 109, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 942, 109, 345 is 1.

1. What is the GCD of 994, 942, 109, 345?

GCD of given numbers 994, 942, 109, 345 is 1

2. How to calculate the greatest common divisor of 994, 942, 109, 345?

We can find the highest common divisor of 994, 942, 109, 345 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 994, 942, 109, 345 i.e 1.

3. How can I use the GCD of 994, 942, 109, 345Calculator?

Out the numbers 994, 942, 109, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.