Online GCD Calculator is useful to find the GCD of 784, 180, 747, 742 quickly. Get the easiest ways to solve the greatest common divisor of 784, 180, 747, 742 i.e 1 in different methods as follows.
Given Input numbers are 784, 180, 747, 742
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 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (784, 180, 747, 742) = 1.
Given numbers are 784, 180, 747, 742
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 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 747 are 3 x 3 x 83
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 180, 747, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 180) = 35280
GCD(784, 180) = ( 784 x 180 ) / 35280
= 784 / 180
= 784
Step2:
LCM(4, 747) = 2988
GCD(4, 747) = ( 4 x 747 ) / 2988
= 4 / 747
= 4
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 784, 180, 747, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 180, 747, 742
The greatest common divisor of numbers 784, 180, 747, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 180, 747, 742 is 1.
1. What is the GCD of 784, 180, 747, 742?
GCD of given numbers 784, 180, 747, 742 is 1
2. How to calculate the greatest common divisor of 784, 180, 747, 742?
We can find the highest common divisor of 784, 180, 747, 742 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, 180, 747, 742 i.e 1.
3. How can I use the GCD of 784, 180, 747, 742Calculator?
Out the numbers 784, 180, 747, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.