Online GCD Calculator is useful to find the GCD of 400, 740, 489, 290 quickly. Get the easiest ways to solve the greatest common divisor of 400, 740, 489, 290 i.e 1 in different methods as follows.
Given Input numbers are 400, 740, 489, 290
In the factoring method, we have to find the divisors of all numbers
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 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 489 :
The positive integer divisors of 489 that completely divides 489 are.
1, 3, 163, 489
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
GCD of numbers is the greatest common divisor
So, the GCD (400, 740, 489, 290) = 1.
Given numbers are 400, 740, 489, 290
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 489 are 3 x 163
Prime factors of 290 are 2 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 740, 489, 290
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 740) = 14800
GCD(400, 740) = ( 400 x 740 ) / 14800
= 400 / 740
= 400
Step2:
LCM(20, 489) = 9780
GCD(20, 489) = ( 20 x 489 ) / 9780
= 20 / 489
= 20
Step3:
LCM(1, 290) = 290
GCD(1, 290) = ( 1 x 290 ) / 290
= 1 / 290
= 1
So, Greatest Common Divisor of 400, 740, 489, 290 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 740, 489, 290
The greatest common divisor of numbers 400, 740, 489, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 740, 489, 290 is 1.
1. What is the GCD of 400, 740, 489, 290?
GCD of given numbers 400, 740, 489, 290 is 1
2. How to calculate the greatest common divisor of 400, 740, 489, 290?
We can find the highest common divisor of 400, 740, 489, 290 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 400, 740, 489, 290 i.e 1.
3. How can I use the GCD of 400, 740, 489, 290Calculator?
Out the numbers 400, 740, 489, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.