Online GCD Calculator is useful to find the GCD of 145, 742, 714, 981 quickly. Get the easiest ways to solve the greatest common divisor of 145, 742, 714, 981 i.e 1 in different methods as follows.
Given Input numbers are 145, 742, 714, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (145, 742, 714, 981) = 1.
Given numbers are 145, 742, 714, 981
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 742 are 2 x 7 x 53
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 981 are 3 x 3 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 742, 714, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 742) = 107590
GCD(145, 742) = ( 145 x 742 ) / 107590
= 145 / 742
= 145
Step2:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
Step3:
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
= 1 / 981
= 1
So, Greatest Common Divisor of 145, 742, 714, 981 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 742, 714, 981
The greatest common divisor of numbers 145, 742, 714, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 742, 714, 981 is 1.
1. What is the GCD of 145, 742, 714, 981?
GCD of given numbers 145, 742, 714, 981 is 1
2. How to calculate the greatest common divisor of 145, 742, 714, 981?
We can find the highest common divisor of 145, 742, 714, 981 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 145, 742, 714, 981 i.e 1.
3. How can I use the GCD of 145, 742, 714, 981Calculator?
Out the numbers 145, 742, 714, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.