Online GCD Calculator is useful to find the GCD of 675, 400, 421, 981 quickly. Get the easiest ways to solve the greatest common divisor of 675, 400, 421, 981 i.e 1 in different methods as follows.
Given Input numbers are 675, 400, 421, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (675, 400, 421, 981) = 1.
Given numbers are 675, 400, 421, 981
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 421 are 421
Prime factors of 981 are 3 x 3 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 400, 421, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 400) = 10800
GCD(675, 400) = ( 675 x 400 ) / 10800
= 675 / 400
= 675
Step2:
LCM(25, 421) = 10525
GCD(25, 421) = ( 25 x 421 ) / 10525
= 25 / 421
= 25
Step3:
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
= 1 / 981
= 1
So, Greatest Common Divisor of 675, 400, 421, 981 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 400, 421, 981
The greatest common divisor of numbers 675, 400, 421, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 400, 421, 981 is 1.
1. What is the GCD of 675, 400, 421, 981?
GCD of given numbers 675, 400, 421, 981 is 1
2. How to calculate the greatest common divisor of 675, 400, 421, 981?
We can find the highest common divisor of 675, 400, 421, 981 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 675, 400, 421, 981 i.e 1.
3. How can I use the GCD of 675, 400, 421, 981Calculator?
Out the numbers 675, 400, 421, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.