Online GCD Calculator is useful to find the GCD of 741, 442, 476, 288 quickly. Get the easiest ways to solve the greatest common divisor of 741, 442, 476, 288 i.e 1 in different methods as follows.
Given Input numbers are 741, 442, 476, 288
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (741, 442, 476, 288) = 1.
Given numbers are 741, 442, 476, 288
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 442 are 2 x 13 x 17
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 741, 442, 476, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 442) = 25194
GCD(741, 442) = ( 741 x 442 ) / 25194
= 741 / 442
= 741
Step2:
LCM(13, 476) = 6188
GCD(13, 476) = ( 13 x 476 ) / 6188
= 13 / 476
= 13
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 741, 442, 476, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 442, 476, 288
The greatest common divisor of numbers 741, 442, 476, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 442, 476, 288 is 1.
1. What is the GCD of 741, 442, 476, 288?
GCD of given numbers 741, 442, 476, 288 is 1
2. How to calculate the greatest common divisor of 741, 442, 476, 288?
We can find the highest common divisor of 741, 442, 476, 288 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, 442, 476, 288 i.e 1.
3. How can I use the GCD of 741, 442, 476, 288Calculator?
Out the numbers 741, 442, 476, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.