Online GCD Calculator is useful to find the GCD of 120, 834, 738, 153 quickly. Get the easiest ways to solve the greatest common divisor of 120, 834, 738, 153 i.e 3 in different methods as follows.
Given Input numbers are 120, 834, 738, 153
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (120, 834, 738, 153) = 3.
Given numbers are 120, 834, 738, 153
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 834 are 2 x 3 x 139
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 120, 834, 738, 153 is 3.
Given numbers are 120, 834, 738, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 834) = 16680
GCD(120, 834) = ( 120 x 834 ) / 16680
= 120 / 834
= 120
Step2:
LCM(6, 738) = 738
GCD(6, 738) = ( 6 x 738 ) / 738
= 6 / 738
= 6
Step3:
LCM(6, 153) = 306
GCD(6, 153) = ( 6 x 153 ) / 306
= 6 / 153
= 6
So, Greatest Common Divisor of 120, 834, 738, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 834, 738, 153
The greatest common divisor of numbers 120, 834, 738, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 834, 738, 153 is 3.
1. What is the GCD of 120, 834, 738, 153?
GCD of given numbers 120, 834, 738, 153 is 3
2. How to calculate the greatest common divisor of 120, 834, 738, 153?
We can find the highest common divisor of 120, 834, 738, 153 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 120, 834, 738, 153 i.e 3.
3. How can I use the GCD of 120, 834, 738, 153Calculator?
Out the numbers 120, 834, 738, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.