Online GCD Calculator is useful to find the GCD of 143, 742, 660, 462 quickly. Get the easiest ways to solve the greatest common divisor of 143, 742, 660, 462 i.e 1 in different methods as follows.
Given Input numbers are 143, 742, 660, 462
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 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (143, 742, 660, 462) = 1.
Given numbers are 143, 742, 660, 462
The list of prime factors of all numbers are
Prime factors of 143 are 11 x 13
Prime factors of 742 are 2 x 7 x 53
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 143, 742, 660, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(143, 742) = 106106
GCD(143, 742) = ( 143 x 742 ) / 106106
= 143 / 742
= 143
Step2:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 143, 742, 660, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 143, 742, 660, 462
The greatest common divisor of numbers 143, 742, 660, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 742, 660, 462 is 1.
1. What is the GCD of 143, 742, 660, 462?
GCD of given numbers 143, 742, 660, 462 is 1
2. How to calculate the greatest common divisor of 143, 742, 660, 462?
We can find the highest common divisor of 143, 742, 660, 462 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, 742, 660, 462 i.e 1.
3. How can I use the GCD of 143, 742, 660, 462Calculator?
Out the numbers 143, 742, 660, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.