Online GCD Calculator is useful to find the GCD of 143, 414, 77, 303 quickly. Get the easiest ways to solve the greatest common divisor of 143, 414, 77, 303 i.e 1 in different methods as follows.
Given Input numbers are 143, 414, 77, 303
In the factoring method, we have to find the divisors of all numbers
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
GCD of numbers is the greatest common divisor
So, the GCD (143, 414, 77, 303) = 1.
Given numbers are 143, 414, 77, 303
The list of prime factors of all numbers are
Prime factors of 143 are 11 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 77 are 7 x 11
Prime factors of 303 are 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 143, 414, 77, 303
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(143, 414) = 59202
GCD(143, 414) = ( 143 x 414 ) / 59202
= 143 / 414
= 143
Step2:
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
= 1 / 77
= 1
Step3:
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
= 1 / 303
= 1
So, Greatest Common Divisor of 143, 414, 77, 303 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 143, 414, 77, 303
The greatest common divisor of numbers 143, 414, 77, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 414, 77, 303 is 1.
1. What is the GCD of 143, 414, 77, 303?
GCD of given numbers 143, 414, 77, 303 is 1
2. How to calculate the greatest common divisor of 143, 414, 77, 303?
We can find the highest common divisor of 143, 414, 77, 303 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 143, 414, 77, 303 i.e 1.
3. How can I use the GCD of 143, 414, 77, 303Calculator?
Out the numbers 143, 414, 77, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.