Online GCD Calculator is useful to find the GCD of 752, 206, 922, 120 quickly. Get the easiest ways to solve the greatest common divisor of 752, 206, 922, 120 i.e 2 in different methods as follows.
Given Input numbers are 752, 206, 922, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (752, 206, 922, 120) = 2.
Given numbers are 752, 206, 922, 120
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 206 are 2 x 103
Prime factors of 922 are 2 x 461
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 752, 206, 922, 120 is 2.
Given numbers are 752, 206, 922, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 206) = 77456
GCD(752, 206) = ( 752 x 206 ) / 77456
= 752 / 206
= 752
Step2:
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
= 2 / 922
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 752, 206, 922, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 206, 922, 120
The greatest common divisor of numbers 752, 206, 922, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 206, 922, 120 is 2.
1. What is the GCD of 752, 206, 922, 120?
GCD of given numbers 752, 206, 922, 120 is 2
2. How to calculate the greatest common divisor of 752, 206, 922, 120?
We can find the highest common divisor of 752, 206, 922, 120 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 752, 206, 922, 120 i.e 2.
3. How can I use the GCD of 752, 206, 922, 120Calculator?
Out the numbers 752, 206, 922, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.