Online GCD Calculator is useful to find the GCD of 940, 804, 472, 272 quickly. Get the easiest ways to solve the greatest common divisor of 940, 804, 472, 272 i.e 4 in different methods as follows.
Given Input numbers are 940, 804, 472, 272
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 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (940, 804, 472, 272) = 4.
Given numbers are 940, 804, 472, 272
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 22
Therefore, GCD of 940, 804, 472, 272 is 4.
Given numbers are 940, 804, 472, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 804) = 188940
GCD(940, 804) = ( 940 x 804 ) / 188940
= 940 / 804
= 940
Step2:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
Step3:
LCM(4, 272) = 272
GCD(4, 272) = ( 4 x 272 ) / 272
= 4 / 272
= 4
So, Greatest Common Divisor of 940, 804, 472, 272 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 804, 472, 272
The greatest common divisor of numbers 940, 804, 472, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 804, 472, 272 is 4.
1. What is the GCD of 940, 804, 472, 272?
GCD of given numbers 940, 804, 472, 272 is 4
2. How to calculate the greatest common divisor of 940, 804, 472, 272?
We can find the highest common divisor of 940, 804, 472, 272 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, 804, 472, 272 i.e 4.
3. How can I use the GCD of 940, 804, 472, 272Calculator?
Out the numbers 940, 804, 472, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.