Online GCD Calculator is useful to find the GCD of 120, 678, 766, 754 quickly. Get the easiest ways to solve the greatest common divisor of 120, 678, 766, 754 i.e 2 in different methods as follows.
Given Input numbers are 120, 678, 766, 754
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
GCD of numbers is the greatest common divisor
So, the GCD (120, 678, 766, 754) = 2.
Given numbers are 120, 678, 766, 754
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 678 are 2 x 3 x 113
Prime factors of 766 are 2 x 383
Prime factors of 754 are 2 x 13 x 29
The highest common occurrence is 21
Therefore, GCD of 120, 678, 766, 754 is 2.
Given numbers are 120, 678, 766, 754
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 678) = 13560
GCD(120, 678) = ( 120 x 678 ) / 13560
= 120 / 678
= 120
Step2:
LCM(6, 766) = 2298
GCD(6, 766) = ( 6 x 766 ) / 2298
= 6 / 766
= 6
Step3:
LCM(2, 754) = 754
GCD(2, 754) = ( 2 x 754 ) / 754
= 2 / 754
= 2
So, Greatest Common Divisor of 120, 678, 766, 754 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 678, 766, 754
The greatest common divisor of numbers 120, 678, 766, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 678, 766, 754 is 2.
1. What is the GCD of 120, 678, 766, 754?
GCD of given numbers 120, 678, 766, 754 is 2
2. How to calculate the greatest common divisor of 120, 678, 766, 754?
We can find the highest common divisor of 120, 678, 766, 754 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, 678, 766, 754 i.e 2.
3. How can I use the GCD of 120, 678, 766, 754Calculator?
Out the numbers 120, 678, 766, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.