Online GCD Calculator is useful to find the GCD of 285, 420, 765, 741 quickly. Get the easiest ways to solve the greatest common divisor of 285, 420, 765, 741 i.e 3 in different methods as follows.
Given Input numbers are 285, 420, 765, 741
In the factoring method, we have to find the divisors of all numbers
Divisors of 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
GCD of numbers is the greatest common divisor
So, the GCD (285, 420, 765, 741) = 3.
Given numbers are 285, 420, 765, 741
The list of prime factors of all numbers are
Prime factors of 285 are 3 x 5 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 741 are 3 x 13 x 19
The highest common occurrence is 31
Therefore, GCD of 285, 420, 765, 741 is 3.
Given numbers are 285, 420, 765, 741
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(285, 420) = 7980
GCD(285, 420) = ( 285 x 420 ) / 7980
= 285 / 420
= 285
Step2:
LCM(15, 765) = 765
GCD(15, 765) = ( 15 x 765 ) / 765
= 15 / 765
= 15
Step3:
LCM(15, 741) = 3705
GCD(15, 741) = ( 15 x 741 ) / 3705
= 15 / 741
= 15
So, Greatest Common Divisor of 285, 420, 765, 741 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 285, 420, 765, 741
The greatest common divisor of numbers 285, 420, 765, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 285, 420, 765, 741 is 3.
1. What is the GCD of 285, 420, 765, 741?
GCD of given numbers 285, 420, 765, 741 is 3
2. How to calculate the greatest common divisor of 285, 420, 765, 741?
We can find the highest common divisor of 285, 420, 765, 741 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 285, 420, 765, 741 i.e 3.
3. How can I use the GCD of 285, 420, 765, 741Calculator?
Out the numbers 285, 420, 765, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.