Online GCD Calculator is useful to find the GCD of 960, 140, 495 quickly. Get the easiest ways to solve the greatest common divisor of 960, 140, 495 i.e 5 in different methods as follows.
Given Input numbers are 960, 140, 495
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
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
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
GCD of numbers is the greatest common divisor
So, the GCD (960, 140, 495) = 5.
Given numbers are 960, 140, 495
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 495 are 3 x 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 960, 140, 495 is 5.
Given numbers are 960, 140, 495
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 140) = 6720
GCD(960, 140) = ( 960 x 140 ) / 6720
= 960 / 140
= 960
Step2:
LCM(20, 495) = 1980
GCD(20, 495) = ( 20 x 495 ) / 1980
= 20 / 495
= 20
So, Greatest Common Divisor of 960, 140, 495 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 960, 140, 495
The greatest common divisor of numbers 960, 140, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 140, 495 is 5.
1. What is the GCD of 960, 140, 495?
GCD of given numbers 960, 140, 495 is 5
2. How to calculate the greatest common divisor of 960, 140, 495?
We can find the highest common divisor of 960, 140, 495 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 960, 140, 495 i.e 5.
3. How can I use the GCD of 960, 140, 495Calculator?
Out the numbers 960, 140, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.