Online GCD Calculator is useful to find the GCD of 741, 771, 981, 270 quickly. Get the easiest ways to solve the greatest common divisor of 741, 771, 981, 270 i.e 3 in different methods as follows.
Given Input numbers are 741, 771, 981, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
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 (741, 771, 981, 270) = 3.
Given numbers are 741, 771, 981, 270
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 771 are 3 x 257
Prime factors of 981 are 3 x 3 x 109
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 741, 771, 981, 270 is 3.
Given numbers are 741, 771, 981, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 771) = 190437
GCD(741, 771) = ( 741 x 771 ) / 190437
= 741 / 771
= 741
Step2:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
Step3:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
So, Greatest Common Divisor of 741, 771, 981, 270 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 771, 981, 270
The greatest common divisor of numbers 741, 771, 981, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 771, 981, 270 is 3.
1. What is the GCD of 741, 771, 981, 270?
GCD of given numbers 741, 771, 981, 270 is 3
2. How to calculate the greatest common divisor of 741, 771, 981, 270?
We can find the highest common divisor of 741, 771, 981, 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 741, 771, 981, 270 i.e 3.
3. How can I use the GCD of 741, 771, 981, 270Calculator?
Out the numbers 741, 771, 981, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.