Online GCD Calculator is useful to find the GCD of 289, 742, 977, 145 quickly. Get the easiest ways to solve the greatest common divisor of 289, 742, 977, 145 i.e 1 in different methods as follows.
Given Input numbers are 289, 742, 977, 145
In the factoring method, we have to find the divisors of all numbers
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (289, 742, 977, 145) = 1.
Given numbers are 289, 742, 977, 145
The list of prime factors of all numbers are
Prime factors of 289 are 17 x 17
Prime factors of 742 are 2 x 7 x 53
Prime factors of 977 are 977
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 289, 742, 977, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(289, 742) = 214438
GCD(289, 742) = ( 289 x 742 ) / 214438
= 289 / 742
= 289
Step2:
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
= 1 / 977
= 1
Step3:
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
= 1 / 145
= 1
So, Greatest Common Divisor of 289, 742, 977, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 289, 742, 977, 145
The greatest common divisor of numbers 289, 742, 977, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 742, 977, 145 is 1.
1. What is the GCD of 289, 742, 977, 145?
GCD of given numbers 289, 742, 977, 145 is 1
2. How to calculate the greatest common divisor of 289, 742, 977, 145?
We can find the highest common divisor of 289, 742, 977, 145 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 289, 742, 977, 145 i.e 1.
3. How can I use the GCD of 289, 742, 977, 145Calculator?
Out the numbers 289, 742, 977, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.