Online GCD Calculator is useful to find the GCD of 428, 709, 435, 398 quickly. Get the easiest ways to solve the greatest common divisor of 428, 709, 435, 398 i.e 1 in different methods as follows.
Given Input numbers are 428, 709, 435, 398
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 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 435 :
The positive integer divisors of 435 that completely divides 435 are.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (428, 709, 435, 398) = 1.
Given numbers are 428, 709, 435, 398
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 709 are 709
Prime factors of 435 are 3 x 5 x 29
Prime factors of 398 are 2 x 199
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 709, 435, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 709) = 303452
GCD(428, 709) = ( 428 x 709 ) / 303452
= 428 / 709
= 428
Step2:
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
= 1 / 435
= 1
Step3:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
So, Greatest Common Divisor of 428, 709, 435, 398 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 709, 435, 398
The greatest common divisor of numbers 428, 709, 435, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 709, 435, 398 is 1.
1. What is the GCD of 428, 709, 435, 398?
GCD of given numbers 428, 709, 435, 398 is 1
2. How to calculate the greatest common divisor of 428, 709, 435, 398?
We can find the highest common divisor of 428, 709, 435, 398 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, 709, 435, 398 i.e 1.
3. How can I use the GCD of 428, 709, 435, 398Calculator?
Out the numbers 428, 709, 435, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.