Online GCD Calculator is useful to find the GCD of 902, 155, 345, 142 quickly. Get the easiest ways to solve the greatest common divisor of 902, 155, 345, 142 i.e 1 in different methods as follows.
Given Input numbers are 902, 155, 345, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
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 (902, 155, 345, 142) = 1.
Given numbers are 902, 155, 345, 142
The list of prime factors of all numbers are
Prime factors of 902 are 2 x 11 x 41
Prime factors of 155 are 5 x 31
Prime factors of 345 are 3 x 5 x 23
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 902, 155, 345, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(902, 155) = 139810
GCD(902, 155) = ( 902 x 155 ) / 139810
= 902 / 155
= 902
Step2:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 902, 155, 345, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 902, 155, 345, 142
The greatest common divisor of numbers 902, 155, 345, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 155, 345, 142 is 1.
1. What is the GCD of 902, 155, 345, 142?
GCD of given numbers 902, 155, 345, 142 is 1
2. How to calculate the greatest common divisor of 902, 155, 345, 142?
We can find the highest common divisor of 902, 155, 345, 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 902, 155, 345, 142 i.e 1.
3. How can I use the GCD of 902, 155, 345, 142Calculator?
Out the numbers 902, 155, 345, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.