Online GCD Calculator is useful to find the GCD of 469, 310, 824, 428 quickly. Get the easiest ways to solve the greatest common divisor of 469, 310, 824, 428 i.e 1 in different methods as follows.
Given Input numbers are 469, 310, 824, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (469, 310, 824, 428) = 1.
Given numbers are 469, 310, 824, 428
The list of prime factors of all numbers are
Prime factors of 469 are 7 x 67
Prime factors of 310 are 2 x 5 x 31
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 469, 310, 824, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(469, 310) = 145390
GCD(469, 310) = ( 469 x 310 ) / 145390
= 469 / 310
= 469
Step2:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 469, 310, 824, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 469, 310, 824, 428
The greatest common divisor of numbers 469, 310, 824, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 310, 824, 428 is 1.
1. What is the GCD of 469, 310, 824, 428?
GCD of given numbers 469, 310, 824, 428 is 1
2. How to calculate the greatest common divisor of 469, 310, 824, 428?
We can find the highest common divisor of 469, 310, 824, 428 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 469, 310, 824, 428 i.e 1.
3. How can I use the GCD of 469, 310, 824, 428Calculator?
Out the numbers 469, 310, 824, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.