Online GCD Calculator is useful to find the GCD of 940, 464, 172, 900 quickly. Get the easiest ways to solve the greatest common divisor of 940, 464, 172, 900 i.e 4 in different methods as follows.
Given Input numbers are 940, 464, 172, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (940, 464, 172, 900) = 4.
Given numbers are 940, 464, 172, 900
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 172 are 2 x 2 x 43
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 940, 464, 172, 900 is 4.
Given numbers are 940, 464, 172, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 464) = 109040
GCD(940, 464) = ( 940 x 464 ) / 109040
= 940 / 464
= 940
Step2:
LCM(4, 172) = 172
GCD(4, 172) = ( 4 x 172 ) / 172
= 4 / 172
= 4
Step3:
LCM(4, 900) = 900
GCD(4, 900) = ( 4 x 900 ) / 900
= 4 / 900
= 4
So, Greatest Common Divisor of 940, 464, 172, 900 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 464, 172, 900
The greatest common divisor of numbers 940, 464, 172, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 464, 172, 900 is 4.
1. What is the GCD of 940, 464, 172, 900?
GCD of given numbers 940, 464, 172, 900 is 4
2. How to calculate the greatest common divisor of 940, 464, 172, 900?
We can find the highest common divisor of 940, 464, 172, 900 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 940, 464, 172, 900 i.e 4.
3. How can I use the GCD of 940, 464, 172, 900Calculator?
Out the numbers 940, 464, 172, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.