Online GCD Calculator is useful to find the GCD of 145, 705, 988, 349 quickly. Get the easiest ways to solve the greatest common divisor of 145, 705, 988, 349 i.e 1 in different methods as follows.
Given Input numbers are 145, 705, 988, 349
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 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (145, 705, 988, 349) = 1.
Given numbers are 145, 705, 988, 349
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 705 are 3 x 5 x 47
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 705, 988, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 705) = 20445
GCD(145, 705) = ( 145 x 705 ) / 20445
= 145 / 705
= 145
Step2:
LCM(5, 988) = 4940
GCD(5, 988) = ( 5 x 988 ) / 4940
= 5 / 988
= 5
Step3:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
So, Greatest Common Divisor of 145, 705, 988, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 705, 988, 349
The greatest common divisor of numbers 145, 705, 988, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 705, 988, 349 is 1.
1. What is the GCD of 145, 705, 988, 349?
GCD of given numbers 145, 705, 988, 349 is 1
2. How to calculate the greatest common divisor of 145, 705, 988, 349?
We can find the highest common divisor of 145, 705, 988, 349 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, 705, 988, 349 i.e 1.
3. How can I use the GCD of 145, 705, 988, 349Calculator?
Out the numbers 145, 705, 988, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.