Online GCD Calculator is useful to find the GCD of 742, 287, 972, 243 quickly. Get the easiest ways to solve the greatest common divisor of 742, 287, 972, 243 i.e 1 in different methods as follows.
Given Input numbers are 742, 287, 972, 243
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (742, 287, 972, 243) = 1.
Given numbers are 742, 287, 972, 243
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 287 are 7 x 41
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 287, 972, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 287) = 30422
GCD(742, 287) = ( 742 x 287 ) / 30422
= 742 / 287
= 742
Step2:
LCM(7, 972) = 6804
GCD(7, 972) = ( 7 x 972 ) / 6804
= 7 / 972
= 7
Step3:
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
= 1 / 243
= 1
So, Greatest Common Divisor of 742, 287, 972, 243 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 287, 972, 243
The greatest common divisor of numbers 742, 287, 972, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 287, 972, 243 is 1.
1. What is the GCD of 742, 287, 972, 243?
GCD of given numbers 742, 287, 972, 243 is 1
2. How to calculate the greatest common divisor of 742, 287, 972, 243?
We can find the highest common divisor of 742, 287, 972, 243 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 742, 287, 972, 243 i.e 1.
3. How can I use the GCD of 742, 287, 972, 243Calculator?
Out the numbers 742, 287, 972, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.