Online GCD Calculator is useful to find the GCD of 478, 662, 438, 746 quickly. Get the easiest ways to solve the greatest common divisor of 478, 662, 438, 746 i.e 2 in different methods as follows.
Given Input numbers are 478, 662, 438, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (478, 662, 438, 746) = 2.
Given numbers are 478, 662, 438, 746
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 662 are 2 x 331
Prime factors of 438 are 2 x 3 x 73
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 478, 662, 438, 746 is 2.
Given numbers are 478, 662, 438, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 662) = 158218
GCD(478, 662) = ( 478 x 662 ) / 158218
= 478 / 662
= 478
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 478, 662, 438, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 478, 662, 438, 746
The greatest common divisor of numbers 478, 662, 438, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 662, 438, 746 is 2.
1. What is the GCD of 478, 662, 438, 746?
GCD of given numbers 478, 662, 438, 746 is 2
2. How to calculate the greatest common divisor of 478, 662, 438, 746?
We can find the highest common divisor of 478, 662, 438, 746 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 478, 662, 438, 746 i.e 2.
3. How can I use the GCD of 478, 662, 438, 746Calculator?
Out the numbers 478, 662, 438, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.