GCD of 342, 774, 843, 942 Calculator

Given Input numbers are 342, 774, 843, 942

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

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 (342, 774, 843, 942) = 3.

Given numbers are 342, 774, 843, 942

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 843 are 3 x 281

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 342, 774, 843, 942 is 3.

Given numbers are 342, 774, 843, 942

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

Apply this formula for all numbers.

Step1:

LCM(342, 774) = 14706

GCD(342, 774) = ( 342 x 774 ) / 14706

= 342 / 774

= 342

Step2:

LCM(18, 843) = 5058

GCD(18, 843) = ( 18 x 843 ) / 5058

= 18 / 843

= 18

Step3:

LCM(3, 942) = 942

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

= 3 / 942

= 3

So, Greatest Common Divisor of 342, 774, 843, 942 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 653, 178, 223
• GCD of 900, 893, 222, 989
• GCD of 653, 768, 153, 115
• GCD of 554, 516, 979, 563
• GCD of 886, 691, 130, 694

Given numbers are 342, 774, 843, 942
The greatest common divisor of numbers 342, 774, 843, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 774, 843, 942 is 3.

1. What is the GCD of 342, 774, 843, 942?

GCD of given numbers 342, 774, 843, 942 is 3

2. How to calculate the greatest common divisor of 342, 774, 843, 942?

We can find the highest common divisor of 342, 774, 843, 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 342, 774, 843, 942 i.e 3.

3. How can I use the GCD of 342, 774, 843, 942Calculator?

Out the numbers 342, 774, 843, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.