Online GCD Calculator is useful to find the GCD of 470, 142, 741, 175 quickly. Get the easiest ways to solve the greatest common divisor of 470, 142, 741, 175 i.e 1 in different methods as follows.
Given Input numbers are 470, 142, 741, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (470, 142, 741, 175) = 1.
Given numbers are 470, 142, 741, 175
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 142 are 2 x 71
Prime factors of 741 are 3 x 13 x 19
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 470, 142, 741, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 142) = 33370
GCD(470, 142) = ( 470 x 142 ) / 33370
= 470 / 142
= 470
Step2:
LCM(2, 741) = 1482
GCD(2, 741) = ( 2 x 741 ) / 1482
= 2 / 741
= 2
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 470, 142, 741, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 142, 741, 175
The greatest common divisor of numbers 470, 142, 741, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 142, 741, 175 is 1.
1. What is the GCD of 470, 142, 741, 175?
GCD of given numbers 470, 142, 741, 175 is 1
2. How to calculate the greatest common divisor of 470, 142, 741, 175?
We can find the highest common divisor of 470, 142, 741, 175 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 470, 142, 741, 175 i.e 1.
3. How can I use the GCD of 470, 142, 741, 175Calculator?
Out the numbers 470, 142, 741, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.