Online GCD Calculator is useful to find the GCD of 462, 374, 626, 148 quickly. Get the easiest ways to solve the greatest common divisor of 462, 374, 626, 148 i.e 2 in different methods as follows.
Given Input numbers are 462, 374, 626, 148
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 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (462, 374, 626, 148) = 2.
Given numbers are 462, 374, 626, 148
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 374 are 2 x 11 x 17
Prime factors of 626 are 2 x 313
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 462, 374, 626, 148 is 2.
Given numbers are 462, 374, 626, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 374) = 7854
GCD(462, 374) = ( 462 x 374 ) / 7854
= 462 / 374
= 462
Step2:
LCM(22, 626) = 6886
GCD(22, 626) = ( 22 x 626 ) / 6886
= 22 / 626
= 22
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 462, 374, 626, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 374, 626, 148
The greatest common divisor of numbers 462, 374, 626, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 374, 626, 148 is 2.
1. What is the GCD of 462, 374, 626, 148?
GCD of given numbers 462, 374, 626, 148 is 2
2. How to calculate the greatest common divisor of 462, 374, 626, 148?
We can find the highest common divisor of 462, 374, 626, 148 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, 374, 626, 148 i.e 2.
3. How can I use the GCD of 462, 374, 626, 148Calculator?
Out the numbers 462, 374, 626, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.