Online GCD Calculator is useful to find the GCD of 144, 986, 140, 835 quickly. Get the easiest ways to solve the greatest common divisor of 144, 986, 140, 835 i.e 1 in different methods as follows.
Given Input numbers are 144, 986, 140, 835
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 835 :
The positive integer divisors of 835 that completely divides 835 are.
1, 5, 167, 835
GCD of numbers is the greatest common divisor
So, the GCD (144, 986, 140, 835) = 1.
Given numbers are 144, 986, 140, 835
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 986 are 2 x 17 x 29
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 835 are 5 x 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 986, 140, 835
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 986) = 70992
GCD(144, 986) = ( 144 x 986 ) / 70992
= 144 / 986
= 144
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 835) = 1670
GCD(2, 835) = ( 2 x 835 ) / 1670
= 2 / 835
= 2
So, Greatest Common Divisor of 144, 986, 140, 835 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 986, 140, 835
The greatest common divisor of numbers 144, 986, 140, 835 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 986, 140, 835 is 1.
1. What is the GCD of 144, 986, 140, 835?
GCD of given numbers 144, 986, 140, 835 is 1
2. How to calculate the greatest common divisor of 144, 986, 140, 835?
We can find the highest common divisor of 144, 986, 140, 835 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 144, 986, 140, 835 i.e 1.
3. How can I use the GCD of 144, 986, 140, 835Calculator?
Out the numbers 144, 986, 140, 835 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.