Online GCD Calculator is useful to find the GCD of 434, 636, 220, 148 quickly. Get the easiest ways to solve the greatest common divisor of 434, 636, 220, 148 i.e 2 in different methods as follows.
Given Input numbers are 434, 636, 220, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
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 (434, 636, 220, 148) = 2.
Given numbers are 434, 636, 220, 148
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 148 are 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 434, 636, 220, 148 is 2.
Given numbers are 434, 636, 220, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 636) = 138012
GCD(434, 636) = ( 434 x 636 ) / 138012
= 434 / 636
= 434
Step2:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
Step3:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
So, Greatest Common Divisor of 434, 636, 220, 148 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 636, 220, 148
The greatest common divisor of numbers 434, 636, 220, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 636, 220, 148 is 2.
1. What is the GCD of 434, 636, 220, 148?
GCD of given numbers 434, 636, 220, 148 is 2
2. How to calculate the greatest common divisor of 434, 636, 220, 148?
We can find the highest common divisor of 434, 636, 220, 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 434, 636, 220, 148 i.e 2.
3. How can I use the GCD of 434, 636, 220, 148Calculator?
Out the numbers 434, 636, 220, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.