Online GCD Calculator is useful to find the GCD of 429, 698, 478, 990 quickly. Get the easiest ways to solve the greatest common divisor of 429, 698, 478, 990 i.e 1 in different methods as follows.
Given Input numbers are 429, 698, 478, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (429, 698, 478, 990) = 1.
Given numbers are 429, 698, 478, 990
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 698 are 2 x 349
Prime factors of 478 are 2 x 239
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 698, 478, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 698) = 299442
GCD(429, 698) = ( 429 x 698 ) / 299442
= 429 / 698
= 429
Step2:
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
= 1 / 478
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 429, 698, 478, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 698, 478, 990
The greatest common divisor of numbers 429, 698, 478, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 698, 478, 990 is 1.
1. What is the GCD of 429, 698, 478, 990?
GCD of given numbers 429, 698, 478, 990 is 1
2. How to calculate the greatest common divisor of 429, 698, 478, 990?
We can find the highest common divisor of 429, 698, 478, 990 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 429, 698, 478, 990 i.e 1.
3. How can I use the GCD of 429, 698, 478, 990Calculator?
Out the numbers 429, 698, 478, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.