Online GCD Calculator is useful to find the GCD of 149, 421, 992 quickly. Get the easiest ways to solve the greatest common divisor of 149, 421, 992 i.e 1 in different methods as follows.
Given Input numbers are 149, 421, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
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 (149, 421, 992) = 1.
Given numbers are 149, 421, 992
The list of prime factors of all numbers are
Prime factors of 149 are 149
Prime factors of 421 are 421
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 149, 421, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(149, 421) = 62729
GCD(149, 421) = ( 149 x 421 ) / 62729
= 149 / 421
= 149
Step2:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 149, 421, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 149, 421, 992
The greatest common divisor of numbers 149, 421, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 421, 992 is 1.
1. What is the GCD of 149, 421, 992?
GCD of given numbers 149, 421, 992 is 1
2. How to calculate the greatest common divisor of 149, 421, 992?
We can find the highest common divisor of 149, 421, 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 149, 421, 992 i.e 1.
3. How can I use the GCD of 149, 421, 992Calculator?
Out the numbers 149, 421, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.