GCD of 342, 279, 780, 891 Calculator

Given Input numbers are 342, 279, 780, 891

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 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (342, 279, 780, 891) = 3.

Given numbers are 342, 279, 780, 891

The list of prime factors of all numbers are

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

Prime factors of 279 are 3 x 3 x 31

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 342, 279, 780, 891 is 3.

Given numbers are 342, 279, 780, 891

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

Apply this formula for all numbers.

Step1:

LCM(342, 279) = 10602

GCD(342, 279) = ( 342 x 279 ) / 10602

= 342 / 279

= 342

Step2:

LCM(9, 780) = 2340

GCD(9, 780) = ( 9 x 780 ) / 2340

= 9 / 780

= 9

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 342, 279, 780, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 186, 694, 140
• GCD of 922, 874, 935, 918
• GCD of 590, 992, 613, 592
• GCD of 529, 737, 379, 888
• GCD of 942, 624, 456, 876

Given numbers are 342, 279, 780, 891
The greatest common divisor of numbers 342, 279, 780, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 279, 780, 891 is 3.

1. What is the GCD of 342, 279, 780, 891?

GCD of given numbers 342, 279, 780, 891 is 3

2. How to calculate the greatest common divisor of 342, 279, 780, 891?

We can find the highest common divisor of 342, 279, 780, 891 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, 279, 780, 891 i.e 3.

3. How can I use the GCD of 342, 279, 780, 891Calculator?

Out the numbers 342, 279, 780, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.