GCD of 354, 105, 912, 942 Calculator

Given Input numbers are 354, 105, 912, 942

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

Divisors of 354 :

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

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 942 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (354, 105, 912, 942) = 3.

Given numbers are 354, 105, 912, 942

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 105 are 3 x 5 x 7

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 354, 105, 912, 942 is 3.

Given numbers are 354, 105, 912, 942

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

Apply this formula for all numbers.

Step1:

LCM(354, 105) = 12390

GCD(354, 105) = ( 354 x 105 ) / 12390

= 354 / 105

= 354

Step2:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 354, 105, 912, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 256, 396, 669
• GCD of 628, 605, 142, 978
• GCD of 998, 567, 776, 671
• GCD of 866, 344, 730, 970
• GCD of 267, 858, 481, 297

Given numbers are 354, 105, 912, 942
The greatest common divisor of numbers 354, 105, 912, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 105, 912, 942 is 3.

1. What is the GCD of 354, 105, 912, 942?

GCD of given numbers 354, 105, 912, 942 is 3

2. How to calculate the greatest common divisor of 354, 105, 912, 942?

We can find the highest common divisor of 354, 105, 912, 942 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 354, 105, 912, 942 i.e 3.

3. How can I use the GCD of 354, 105, 912, 942Calculator?

Out the numbers 354, 105, 912, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.