Online GCD Calculator is useful to find the GCD of 274, 921, 729, 992 quickly. Get the easiest ways to solve the greatest common divisor of 274, 921, 729, 992 i.e 1 in different methods as follows.
Given Input numbers are 274, 921, 729, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 729 :
The positive integer divisors of 729 that completely divides 729 are.
1, 3, 9, 27, 81, 243, 729
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (274, 921, 729, 992) = 1.
Given numbers are 274, 921, 729, 992
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 921 are 3 x 307
Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 921, 729, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 921) = 252354
GCD(274, 921) = ( 274 x 921 ) / 252354
= 274 / 921
= 274
Step2:
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
= 1 / 729
= 1
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 274, 921, 729, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 921, 729, 992
The greatest common divisor of numbers 274, 921, 729, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 921, 729, 992 is 1.
1. What is the GCD of 274, 921, 729, 992?
GCD of given numbers 274, 921, 729, 992 is 1
2. How to calculate the greatest common divisor of 274, 921, 729, 992?
We can find the highest common divisor of 274, 921, 729, 992 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 274, 921, 729, 992 i.e 1.
3. How can I use the GCD of 274, 921, 729, 992Calculator?
Out the numbers 274, 921, 729, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.