Online GCD Calculator is useful to find the GCD of 987, 461, 472, 270 quickly. Get the easiest ways to solve the greatest common divisor of 987, 461, 472, 270 i.e 1 in different methods as follows.
Given Input numbers are 987, 461, 472, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (987, 461, 472, 270) = 1.
Given numbers are 987, 461, 472, 270
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 461 are 461
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 461, 472, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 461) = 455007
GCD(987, 461) = ( 987 x 461 ) / 455007
= 987 / 461
= 987
Step2:
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
= 1 / 472
= 1
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 987, 461, 472, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 461, 472, 270
The greatest common divisor of numbers 987, 461, 472, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 461, 472, 270 is 1.
1. What is the GCD of 987, 461, 472, 270?
GCD of given numbers 987, 461, 472, 270 is 1
2. How to calculate the greatest common divisor of 987, 461, 472, 270?
We can find the highest common divisor of 987, 461, 472, 270 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 987, 461, 472, 270 i.e 1.
3. How can I use the GCD of 987, 461, 472, 270Calculator?
Out the numbers 987, 461, 472, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.