Online GCD Calculator is useful to find the GCD of 621, 774, 981, 354 quickly. Get the easiest ways to solve the greatest common divisor of 621, 774, 981, 354 i.e 3 in different methods as follows.
Given Input numbers are 621, 774, 981, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 621 :
The positive integer divisors of 621 that completely divides 621 are.
1, 3, 9, 23, 27, 69, 207, 621
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 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (621, 774, 981, 354) = 3.
Given numbers are 621, 774, 981, 354
The list of prime factors of all numbers are
Prime factors of 621 are 3 x 3 x 3 x 23
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 981 are 3 x 3 x 109
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 621, 774, 981, 354 is 3.
Given numbers are 621, 774, 981, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(621, 774) = 53406
GCD(621, 774) = ( 621 x 774 ) / 53406
= 621 / 774
= 621
Step2:
LCM(9, 981) = 981
GCD(9, 981) = ( 9 x 981 ) / 981
= 9 / 981
= 9
Step3:
LCM(9, 354) = 1062
GCD(9, 354) = ( 9 x 354 ) / 1062
= 9 / 354
= 9
So, Greatest Common Divisor of 621, 774, 981, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 621, 774, 981, 354
The greatest common divisor of numbers 621, 774, 981, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 774, 981, 354 is 3.
1. What is the GCD of 621, 774, 981, 354?
GCD of given numbers 621, 774, 981, 354 is 3
2. How to calculate the greatest common divisor of 621, 774, 981, 354?
We can find the highest common divisor of 621, 774, 981, 354 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 621, 774, 981, 354 i.e 3.
3. How can I use the GCD of 621, 774, 981, 354Calculator?
Out the numbers 621, 774, 981, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.