Online GCD Calculator is useful to find the GCD of 140, 904, 800, 168 quickly. Get the easiest ways to solve the greatest common divisor of 140, 904, 800, 168 i.e 4 in different methods as follows.
Given Input numbers are 140, 904, 800, 168
In the factoring method, we have to find the divisors of all numbers
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 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (140, 904, 800, 168) = 4.
Given numbers are 140, 904, 800, 168
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 140, 904, 800, 168 is 4.
Given numbers are 140, 904, 800, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 904) = 31640
GCD(140, 904) = ( 140 x 904 ) / 31640
= 140 / 904
= 140
Step2:
LCM(4, 800) = 800
GCD(4, 800) = ( 4 x 800 ) / 800
= 4 / 800
= 4
Step3:
LCM(4, 168) = 168
GCD(4, 168) = ( 4 x 168 ) / 168
= 4 / 168
= 4
So, Greatest Common Divisor of 140, 904, 800, 168 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 904, 800, 168
The greatest common divisor of numbers 140, 904, 800, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 904, 800, 168 is 4.
1. What is the GCD of 140, 904, 800, 168?
GCD of given numbers 140, 904, 800, 168 is 4
2. How to calculate the greatest common divisor of 140, 904, 800, 168?
We can find the highest common divisor of 140, 904, 800, 168 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 140, 904, 800, 168 i.e 4.
3. How can I use the GCD of 140, 904, 800, 168Calculator?
Out the numbers 140, 904, 800, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.