Online GCD Calculator is useful to find the GCD of 920, 918, 422, 946 quickly. Get the easiest ways to solve the greatest common divisor of 920, 918, 422, 946 i.e 2 in different methods as follows.
Given Input numbers are 920, 918, 422, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (920, 918, 422, 946) = 2.
Given numbers are 920, 918, 422, 946
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 422 are 2 x 211
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 920, 918, 422, 946 is 2.
Given numbers are 920, 918, 422, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 918) = 422280
GCD(920, 918) = ( 920 x 918 ) / 422280
= 920 / 918
= 920
Step2:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
Step3:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
So, Greatest Common Divisor of 920, 918, 422, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 918, 422, 946
The greatest common divisor of numbers 920, 918, 422, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 918, 422, 946 is 2.
1. What is the GCD of 920, 918, 422, 946?
GCD of given numbers 920, 918, 422, 946 is 2
2. How to calculate the greatest common divisor of 920, 918, 422, 946?
We can find the highest common divisor of 920, 918, 422, 946 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 920, 918, 422, 946 i.e 2.
3. How can I use the GCD of 920, 918, 422, 946Calculator?
Out the numbers 920, 918, 422, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.