Online GCD Calculator is useful to find the GCD of 741, 693, 825, 228 quickly. Get the easiest ways to solve the greatest common divisor of 741, 693, 825, 228 i.e 3 in different methods as follows.
Given Input numbers are 741, 693, 825, 228
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (741, 693, 825, 228) = 3.
Given numbers are 741, 693, 825, 228
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 741, 693, 825, 228 is 3.
Given numbers are 741, 693, 825, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 693) = 171171
GCD(741, 693) = ( 741 x 693 ) / 171171
= 741 / 693
= 741
Step2:
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
= 3 / 825
= 3
Step3:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 741, 693, 825, 228 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 693, 825, 228
The greatest common divisor of numbers 741, 693, 825, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 693, 825, 228 is 3.
1. What is the GCD of 741, 693, 825, 228?
GCD of given numbers 741, 693, 825, 228 is 3
2. How to calculate the greatest common divisor of 741, 693, 825, 228?
We can find the highest common divisor of 741, 693, 825, 228 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, 693, 825, 228 i.e 3.
3. How can I use the GCD of 741, 693, 825, 228Calculator?
Out the numbers 741, 693, 825, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.