Online GCD Calculator is useful to find the GCD of 142, 170, 875, 728 quickly. Get the easiest ways to solve the greatest common divisor of 142, 170, 875, 728 i.e 1 in different methods as follows.
Given Input numbers are 142, 170, 875, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (142, 170, 875, 728) = 1.
Given numbers are 142, 170, 875, 728
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 170 are 2 x 5 x 17
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 142, 170, 875, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 170) = 12070
GCD(142, 170) = ( 142 x 170 ) / 12070
= 142 / 170
= 142
Step2:
LCM(2, 875) = 1750
GCD(2, 875) = ( 2 x 875 ) / 1750
= 2 / 875
= 2
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 142, 170, 875, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 170, 875, 728
The greatest common divisor of numbers 142, 170, 875, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 170, 875, 728 is 1.
1. What is the GCD of 142, 170, 875, 728?
GCD of given numbers 142, 170, 875, 728 is 1
2. How to calculate the greatest common divisor of 142, 170, 875, 728?
We can find the highest common divisor of 142, 170, 875, 728 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 142, 170, 875, 728 i.e 1.
3. How can I use the GCD of 142, 170, 875, 728Calculator?
Out the numbers 142, 170, 875, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.