Online GCD Calculator is useful to find the GCD of 784, 637, 560, 737 quickly. Get the easiest ways to solve the greatest common divisor of 784, 637, 560, 737 i.e 1 in different methods as follows.
Given Input numbers are 784, 637, 560, 737
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 637 :
The positive integer divisors of 637 that completely divides 637 are.
1, 7, 13, 49, 91, 637
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
GCD of numbers is the greatest common divisor
So, the GCD (784, 637, 560, 737) = 1.
Given numbers are 784, 637, 560, 737
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 637 are 7 x 7 x 13
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 737 are 11 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 637, 560, 737
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 637) = 10192
GCD(784, 637) = ( 784 x 637 ) / 10192
= 784 / 637
= 784
Step2:
LCM(49, 560) = 3920
GCD(49, 560) = ( 49 x 560 ) / 3920
= 49 / 560
= 49
Step3:
LCM(7, 737) = 5159
GCD(7, 737) = ( 7 x 737 ) / 5159
= 7 / 737
= 7
So, Greatest Common Divisor of 784, 637, 560, 737 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 637, 560, 737
The greatest common divisor of numbers 784, 637, 560, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 637, 560, 737 is 1.
1. What is the GCD of 784, 637, 560, 737?
GCD of given numbers 784, 637, 560, 737 is 1
2. How to calculate the greatest common divisor of 784, 637, 560, 737?
We can find the highest common divisor of 784, 637, 560, 737 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, 637, 560, 737 i.e 1.
3. How can I use the GCD of 784, 637, 560, 737Calculator?
Out the numbers 784, 637, 560, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.