Online GCD Calculator is useful to find the GCD of 255, 120, 140 quickly. Get the easiest ways to solve the greatest common divisor of 255, 120, 140 i.e 5 in different methods as follows.
Given Input numbers are 255, 120, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (255, 120, 140) = 5.
Given numbers are 255, 120, 140
The list of prime factors of all numbers are
Prime factors of 255 are 3 x 5 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 255, 120, 140 is 5.
Given numbers are 255, 120, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(255, 120) = 2040
GCD(255, 120) = ( 255 x 120 ) / 2040
= 255 / 120
= 255
Step2:
LCM(15, 140) = 420
GCD(15, 140) = ( 15 x 140 ) / 420
= 15 / 140
= 15
So, Greatest Common Divisor of 255, 120, 140 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 255, 120, 140
The greatest common divisor of numbers 255, 120, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 120, 140 is 5.
1. What is the GCD of 255, 120, 140?
GCD of given numbers 255, 120, 140 is 5
2. How to calculate the greatest common divisor of 255, 120, 140?
We can find the highest common divisor of 255, 120, 140 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 255, 120, 140 i.e 5.
3. How can I use the GCD of 255, 120, 140Calculator?
Out the numbers 255, 120, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.