Online GCD Calculator is useful to find the GCD of 948, 118, 180, 122 quickly. Get the easiest ways to solve the greatest common divisor of 948, 118, 180, 122 i.e 2 in different methods as follows.
Given Input numbers are 948, 118, 180, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 (948, 118, 180, 122) = 2.
Given numbers are 948, 118, 180, 122
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 118 are 2 x 59
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 122 are 2 x 61
The highest common occurrence is 21
Therefore, GCD of 948, 118, 180, 122 is 2.
Given numbers are 948, 118, 180, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 118) = 55932
GCD(948, 118) = ( 948 x 118 ) / 55932
= 948 / 118
= 948
Step2:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
Step3:
LCM(2, 122) = 122
GCD(2, 122) = ( 2 x 122 ) / 122
= 2 / 122
= 2
So, Greatest Common Divisor of 948, 118, 180, 122 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 948, 118, 180, 122
The greatest common divisor of numbers 948, 118, 180, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 118, 180, 122 is 2.
1. What is the GCD of 948, 118, 180, 122?
GCD of given numbers 948, 118, 180, 122 is 2
2. How to calculate the greatest common divisor of 948, 118, 180, 122?
We can find the highest common divisor of 948, 118, 180, 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 948, 118, 180, 122 i.e 2.
3. How can I use the GCD of 948, 118, 180, 122Calculator?
Out the numbers 948, 118, 180, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.