Online GCD Calculator is useful to find the GCD of 921, 462, 742, 288 quickly. Get the easiest ways to solve the greatest common divisor of 921, 462, 742, 288 i.e 1 in different methods as follows.
Given Input numbers are 921, 462, 742, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (921, 462, 742, 288) = 1.
Given numbers are 921, 462, 742, 288
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 742 are 2 x 7 x 53
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 921, 462, 742, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 462) = 141834
GCD(921, 462) = ( 921 x 462 ) / 141834
= 921 / 462
= 921
Step2:
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
= 3 / 742
= 3
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 921, 462, 742, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 462, 742, 288
The greatest common divisor of numbers 921, 462, 742, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 462, 742, 288 is 1.
1. What is the GCD of 921, 462, 742, 288?
GCD of given numbers 921, 462, 742, 288 is 1
2. How to calculate the greatest common divisor of 921, 462, 742, 288?
We can find the highest common divisor of 921, 462, 742, 288 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 921, 462, 742, 288 i.e 1.
3. How can I use the GCD of 921, 462, 742, 288Calculator?
Out the numbers 921, 462, 742, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.