Online GCD Calculator is useful to find the GCD of 408, 478, 512, 702 quickly. Get the easiest ways to solve the greatest common divisor of 408, 478, 512, 702 i.e 2 in different methods as follows.
Given Input numbers are 408, 478, 512, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (408, 478, 512, 702) = 2.
Given numbers are 408, 478, 512, 702
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 478 are 2 x 239
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 408, 478, 512, 702 is 2.
Given numbers are 408, 478, 512, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 478) = 97512
GCD(408, 478) = ( 408 x 478 ) / 97512
= 408 / 478
= 408
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 408, 478, 512, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 478, 512, 702
The greatest common divisor of numbers 408, 478, 512, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 478, 512, 702 is 2.
1. What is the GCD of 408, 478, 512, 702?
GCD of given numbers 408, 478, 512, 702 is 2
2. How to calculate the greatest common divisor of 408, 478, 512, 702?
We can find the highest common divisor of 408, 478, 512, 702 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 408, 478, 512, 702 i.e 2.
3. How can I use the GCD of 408, 478, 512, 702Calculator?
Out the numbers 408, 478, 512, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.