Online GCD Calculator is useful to find the GCD of 462, 670, 298, 638 quickly. Get the easiest ways to solve the greatest common divisor of 462, 670, 298, 638 i.e 2 in different methods as follows.
Given Input numbers are 462, 670, 298, 638
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
GCD of numbers is the greatest common divisor
So, the GCD (462, 670, 298, 638) = 2.
Given numbers are 462, 670, 298, 638
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 670 are 2 x 5 x 67
Prime factors of 298 are 2 x 149
Prime factors of 638 are 2 x 11 x 29
The highest common occurrence is 21
Therefore, GCD of 462, 670, 298, 638 is 2.
Given numbers are 462, 670, 298, 638
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 670) = 154770
GCD(462, 670) = ( 462 x 670 ) / 154770
= 462 / 670
= 462
Step2:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
Step3:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
So, Greatest Common Divisor of 462, 670, 298, 638 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 670, 298, 638
The greatest common divisor of numbers 462, 670, 298, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 670, 298, 638 is 2.
1. What is the GCD of 462, 670, 298, 638?
GCD of given numbers 462, 670, 298, 638 is 2
2. How to calculate the greatest common divisor of 462, 670, 298, 638?
We can find the highest common divisor of 462, 670, 298, 638 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 462, 670, 298, 638 i.e 2.
3. How can I use the GCD of 462, 670, 298, 638Calculator?
Out the numbers 462, 670, 298, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.