Online GCD Calculator is useful to find the GCD of 680, 400, 731, 450 quickly. Get the easiest ways to solve the greatest common divisor of 680, 400, 731, 450 i.e 1 in different methods as follows.
Given Input numbers are 680, 400, 731, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (680, 400, 731, 450) = 1.
Given numbers are 680, 400, 731, 450
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 731 are 17 x 43
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 400, 731, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 400) = 6800
GCD(680, 400) = ( 680 x 400 ) / 6800
= 680 / 400
= 680
Step2:
LCM(40, 731) = 29240
GCD(40, 731) = ( 40 x 731 ) / 29240
= 40 / 731
= 40
Step3:
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
= 1 / 450
= 1
So, Greatest Common Divisor of 680, 400, 731, 450 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 400, 731, 450
The greatest common divisor of numbers 680, 400, 731, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 400, 731, 450 is 1.
1. What is the GCD of 680, 400, 731, 450?
GCD of given numbers 680, 400, 731, 450 is 1
2. How to calculate the greatest common divisor of 680, 400, 731, 450?
We can find the highest common divisor of 680, 400, 731, 450 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 680, 400, 731, 450 i.e 1.
3. How can I use the GCD of 680, 400, 731, 450Calculator?
Out the numbers 680, 400, 731, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.