Online GCD Calculator is useful to find the GCD of 784, 756, 74, 272 quickly. Get the easiest ways to solve the greatest common divisor of 784, 756, 74, 272 i.e 2 in different methods as follows.
Given Input numbers are 784, 756, 74, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
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 (784, 756, 74, 272) = 2.
Given numbers are 784, 756, 74, 272
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 74 are 2 x 37
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 784, 756, 74, 272 is 2.
Given numbers are 784, 756, 74, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 756) = 21168
GCD(784, 756) = ( 784 x 756 ) / 21168
= 784 / 756
= 784
Step2:
LCM(28, 74) = 1036
GCD(28, 74) = ( 28 x 74 ) / 1036
= 28 / 74
= 28
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 784, 756, 74, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 756, 74, 272
The greatest common divisor of numbers 784, 756, 74, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 756, 74, 272 is 2.
1. What is the GCD of 784, 756, 74, 272?
GCD of given numbers 784, 756, 74, 272 is 2
2. How to calculate the greatest common divisor of 784, 756, 74, 272?
We can find the highest common divisor of 784, 756, 74, 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 784, 756, 74, 272 i.e 2.
3. How can I use the GCD of 784, 756, 74, 272Calculator?
Out the numbers 784, 756, 74, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.