Online GCD Calculator is useful to find the GCD of 922, 298, 165, 712 quickly. Get the easiest ways to solve the greatest common divisor of 922, 298, 165, 712 i.e 1 in different methods as follows.
Given Input numbers are 922, 298, 165, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (922, 298, 165, 712) = 1.
Given numbers are 922, 298, 165, 712
The list of prime factors of all numbers are
Prime factors of 922 are 2 x 461
Prime factors of 298 are 2 x 149
Prime factors of 165 are 3 x 5 x 11
Prime factors of 712 are 2 x 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 922, 298, 165, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(922, 298) = 137378
GCD(922, 298) = ( 922 x 298 ) / 137378
= 922 / 298
= 922
Step2:
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
= 2 / 165
= 2
Step3:
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
= 1 / 712
= 1
So, Greatest Common Divisor of 922, 298, 165, 712 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 922, 298, 165, 712
The greatest common divisor of numbers 922, 298, 165, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 922, 298, 165, 712 is 1.
1. What is the GCD of 922, 298, 165, 712?
GCD of given numbers 922, 298, 165, 712 is 1
2. How to calculate the greatest common divisor of 922, 298, 165, 712?
We can find the highest common divisor of 922, 298, 165, 712 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 922, 298, 165, 712 i.e 1.
3. How can I use the GCD of 922, 298, 165, 712Calculator?
Out the numbers 922, 298, 165, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.