Online GCD Calculator is useful to find the GCD of 464, 402, 308, 122 quickly. Get the easiest ways to solve the greatest common divisor of 464, 402, 308, 122 i.e 2 in different methods as follows.
Given Input numbers are 464, 402, 308, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (464, 402, 308, 122) = 2.
Given numbers are 464, 402, 308, 122
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 402 are 2 x 3 x 67
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 464, 402, 308, 122 is 2.
Given numbers are 464, 402, 308, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 402) = 93264
GCD(464, 402) = ( 464 x 402 ) / 93264
= 464 / 402
= 464
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 464, 402, 308, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 402, 308, 122
The greatest common divisor of numbers 464, 402, 308, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 402, 308, 122 is 2.
1. What is the GCD of 464, 402, 308, 122?
GCD of given numbers 464, 402, 308, 122 is 2
2. How to calculate the greatest common divisor of 464, 402, 308, 122?
We can find the highest common divisor of 464, 402, 308, 122 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 464, 402, 308, 122 i.e 2.
3. How can I use the GCD of 464, 402, 308, 122Calculator?
Out the numbers 464, 402, 308, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.