Online GCD Calculator is useful to find the GCD of 145, 642, 414, 988 quickly. Get the easiest ways to solve the greatest common divisor of 145, 642, 414, 988 i.e 1 in different methods as follows.
Given Input numbers are 145, 642, 414, 988
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
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 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (145, 642, 414, 988) = 1.
Given numbers are 145, 642, 414, 988
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 642 are 2 x 3 x 107
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 988 are 2 x 2 x 13 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 642, 414, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 642) = 93090
GCD(145, 642) = ( 145 x 642 ) / 93090
= 145 / 642
= 145
Step2:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
Step3:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
So, Greatest Common Divisor of 145, 642, 414, 988 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 642, 414, 988
The greatest common divisor of numbers 145, 642, 414, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 642, 414, 988 is 1.
1. What is the GCD of 145, 642, 414, 988?
GCD of given numbers 145, 642, 414, 988 is 1
2. How to calculate the greatest common divisor of 145, 642, 414, 988?
We can find the highest common divisor of 145, 642, 414, 988 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, 642, 414, 988 i.e 1.
3. How can I use the GCD of 145, 642, 414, 988Calculator?
Out the numbers 145, 642, 414, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.