Online GCD Calculator is useful to find the GCD of 141, 308, 497, 144 quickly. Get the easiest ways to solve the greatest common divisor of 141, 308, 497, 144 i.e 1 in different methods as follows.
Given Input numbers are 141, 308, 497, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (141, 308, 497, 144) = 1.
Given numbers are 141, 308, 497, 144
The list of prime factors of all numbers are
Prime factors of 141 are 3 x 47
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 497 are 7 x 71
Prime factors of 144 are 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 141, 308, 497, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(141, 308) = 43428
GCD(141, 308) = ( 141 x 308 ) / 43428
= 141 / 308
= 141
Step2:
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
= 1 / 497
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 141, 308, 497, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 141, 308, 497, 144
The greatest common divisor of numbers 141, 308, 497, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 308, 497, 144 is 1.
1. What is the GCD of 141, 308, 497, 144?
GCD of given numbers 141, 308, 497, 144 is 1
2. How to calculate the greatest common divisor of 141, 308, 497, 144?
We can find the highest common divisor of 141, 308, 497, 144 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 141, 308, 497, 144 i.e 1.
3. How can I use the GCD of 141, 308, 497, 144Calculator?
Out the numbers 141, 308, 497, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.