Online GCD Calculator is useful to find the GCD of 962, 306, 340, 120 quickly. Get the easiest ways to solve the greatest common divisor of 962, 306, 340, 120 i.e 2 in different methods as follows.
Given Input numbers are 962, 306, 340, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 (962, 306, 340, 120) = 2.
Given numbers are 962, 306, 340, 120
The list of prime factors of all numbers are
Prime factors of 962 are 2 x 13 x 37
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 962, 306, 340, 120 is 2.
Given numbers are 962, 306, 340, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(962, 306) = 147186
GCD(962, 306) = ( 962 x 306 ) / 147186
= 962 / 306
= 962
Step2:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 962, 306, 340, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 962, 306, 340, 120
The greatest common divisor of numbers 962, 306, 340, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 962, 306, 340, 120 is 2.
1. What is the GCD of 962, 306, 340, 120?
GCD of given numbers 962, 306, 340, 120 is 2
2. How to calculate the greatest common divisor of 962, 306, 340, 120?
We can find the highest common divisor of 962, 306, 340, 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 962, 306, 340, 120 i.e 2.
3. How can I use the GCD of 962, 306, 340, 120Calculator?
Out the numbers 962, 306, 340, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.