Online GCD Calculator is useful to find the GCD of 731, 261, 448, 400 quickly. Get the easiest ways to solve the greatest common divisor of 731, 261, 448, 400 i.e 1 in different methods as follows.
Given Input numbers are 731, 261, 448, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
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 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
GCD of numbers is the greatest common divisor
So, the GCD (731, 261, 448, 400) = 1.
Given numbers are 731, 261, 448, 400
The list of prime factors of all numbers are
Prime factors of 731 are 17 x 43
Prime factors of 261 are 3 x 3 x 29
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 731, 261, 448, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(731, 261) = 190791
GCD(731, 261) = ( 731 x 261 ) / 190791
= 731 / 261
= 731
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 731, 261, 448, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 731, 261, 448, 400
The greatest common divisor of numbers 731, 261, 448, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 261, 448, 400 is 1.
1. What is the GCD of 731, 261, 448, 400?
GCD of given numbers 731, 261, 448, 400 is 1
2. How to calculate the greatest common divisor of 731, 261, 448, 400?
We can find the highest common divisor of 731, 261, 448, 400 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 731, 261, 448, 400 i.e 1.
3. How can I use the GCD of 731, 261, 448, 400Calculator?
Out the numbers 731, 261, 448, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.