Online GCD Calculator is useful to find the GCD of 703, 448, 360, 784 quickly. Get the easiest ways to solve the greatest common divisor of 703, 448, 360, 784 i.e 1 in different methods as follows.
Given Input numbers are 703, 448, 360, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 703 :
The positive integer divisors of 703 that completely divides 703 are.
1, 19, 37, 703
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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
GCD of numbers is the greatest common divisor
So, the GCD (703, 448, 360, 784) = 1.
Given numbers are 703, 448, 360, 784
The list of prime factors of all numbers are
Prime factors of 703 are 19 x 37
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 703, 448, 360, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(703, 448) = 314944
GCD(703, 448) = ( 703 x 448 ) / 314944
= 703 / 448
= 703
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 703, 448, 360, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 703, 448, 360, 784
The greatest common divisor of numbers 703, 448, 360, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 703, 448, 360, 784 is 1.
1. What is the GCD of 703, 448, 360, 784?
GCD of given numbers 703, 448, 360, 784 is 1
2. How to calculate the greatest common divisor of 703, 448, 360, 784?
We can find the highest common divisor of 703, 448, 360, 784 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 703, 448, 360, 784 i.e 1.
3. How can I use the GCD of 703, 448, 360, 784Calculator?
Out the numbers 703, 448, 360, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.