Online GCD Calculator is useful to find the GCD of 402, 784, 725, 718 quickly. Get the easiest ways to solve the greatest common divisor of 402, 784, 725, 718 i.e 1 in different methods as follows.
Given Input numbers are 402, 784, 725, 718
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
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 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (402, 784, 725, 718) = 1.
Given numbers are 402, 784, 725, 718
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 725 are 5 x 5 x 29
Prime factors of 718 are 2 x 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 402, 784, 725, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 784) = 157584
GCD(402, 784) = ( 402 x 784 ) / 157584
= 402 / 784
= 402
Step2:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
Step3:
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
= 1 / 718
= 1
So, Greatest Common Divisor of 402, 784, 725, 718 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 784, 725, 718
The greatest common divisor of numbers 402, 784, 725, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 784, 725, 718 is 1.
1. What is the GCD of 402, 784, 725, 718?
GCD of given numbers 402, 784, 725, 718 is 1
2. How to calculate the greatest common divisor of 402, 784, 725, 718?
We can find the highest common divisor of 402, 784, 725, 718 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 402, 784, 725, 718 i.e 1.
3. How can I use the GCD of 402, 784, 725, 718Calculator?
Out the numbers 402, 784, 725, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.