Online GCD Calculator is useful to find the GCD of 428, 175, 212, 353 quickly. Get the easiest ways to solve the greatest common divisor of 428, 175, 212, 353 i.e 1 in different methods as follows.
Given Input numbers are 428, 175, 212, 353
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (428, 175, 212, 353) = 1.
Given numbers are 428, 175, 212, 353
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 175 are 5 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 175, 212, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 175) = 74900
GCD(428, 175) = ( 428 x 175 ) / 74900
= 428 / 175
= 428
Step2:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
Step3:
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
= 1 / 353
= 1
So, Greatest Common Divisor of 428, 175, 212, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 175, 212, 353
The greatest common divisor of numbers 428, 175, 212, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 175, 212, 353 is 1.
1. What is the GCD of 428, 175, 212, 353?
GCD of given numbers 428, 175, 212, 353 is 1
2. How to calculate the greatest common divisor of 428, 175, 212, 353?
We can find the highest common divisor of 428, 175, 212, 353 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 428, 175, 212, 353 i.e 1.
3. How can I use the GCD of 428, 175, 212, 353Calculator?
Out the numbers 428, 175, 212, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.