Online GCD Calculator is useful to find the GCD of 105, 774, 342, 921 quickly. Get the easiest ways to solve the greatest common divisor of 105, 774, 342, 921 i.e 3 in different methods as follows.
Given Input numbers are 105, 774, 342, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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 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 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (105, 774, 342, 921) = 3.
Given numbers are 105, 774, 342, 921
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 105, 774, 342, 921 is 3.
Given numbers are 105, 774, 342, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 774) = 27090
GCD(105, 774) = ( 105 x 774 ) / 27090
= 105 / 774
= 105
Step2:
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
= 3 / 342
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 105, 774, 342, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 774, 342, 921
The greatest common divisor of numbers 105, 774, 342, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 774, 342, 921 is 3.
1. What is the GCD of 105, 774, 342, 921?
GCD of given numbers 105, 774, 342, 921 is 3
2. How to calculate the greatest common divisor of 105, 774, 342, 921?
We can find the highest common divisor of 105, 774, 342, 921 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 105, 774, 342, 921 i.e 3.
3. How can I use the GCD of 105, 774, 342, 921Calculator?
Out the numbers 105, 774, 342, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.