Online GCD Calculator is useful to find the GCD of 153, 882, 108, 142 quickly. Get the easiest ways to solve the greatest common divisor of 153, 882, 108, 142 i.e 1 in different methods as follows.
Given Input numbers are 153, 882, 108, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (153, 882, 108, 142) = 1.
Given numbers are 153, 882, 108, 142
The list of prime factors of all numbers are
Prime factors of 153 are 3 x 3 x 17
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 153, 882, 108, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(153, 882) = 14994
GCD(153, 882) = ( 153 x 882 ) / 14994
= 153 / 882
= 153
Step2:
LCM(9, 108) = 108
GCD(9, 108) = ( 9 x 108 ) / 108
= 9 / 108
= 9
Step3:
LCM(9, 142) = 1278
GCD(9, 142) = ( 9 x 142 ) / 1278
= 9 / 142
= 9
So, Greatest Common Divisor of 153, 882, 108, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 153, 882, 108, 142
The greatest common divisor of numbers 153, 882, 108, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 153, 882, 108, 142 is 1.
1. What is the GCD of 153, 882, 108, 142?
GCD of given numbers 153, 882, 108, 142 is 1
2. How to calculate the greatest common divisor of 153, 882, 108, 142?
We can find the highest common divisor of 153, 882, 108, 142 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 153, 882, 108, 142 i.e 1.
3. How can I use the GCD of 153, 882, 108, 142Calculator?
Out the numbers 153, 882, 108, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.