Online GCD Calculator is useful to find the GCD of 741, 102, 462, 872 quickly. Get the easiest ways to solve the greatest common divisor of 741, 102, 462, 872 i.e 1 in different methods as follows.
Given Input numbers are 741, 102, 462, 872
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 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (741, 102, 462, 872) = 1.
Given numbers are 741, 102, 462, 872
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 102 are 2 x 3 x 17
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 872 are 2 x 2 x 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 741, 102, 462, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 102) = 25194
GCD(741, 102) = ( 741 x 102 ) / 25194
= 741 / 102
= 741
Step2:
LCM(3, 462) = 462
GCD(3, 462) = ( 3 x 462 ) / 462
= 3 / 462
= 3
Step3:
LCM(3, 872) = 2616
GCD(3, 872) = ( 3 x 872 ) / 2616
= 3 / 872
= 3
So, Greatest Common Divisor of 741, 102, 462, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 102, 462, 872
The greatest common divisor of numbers 741, 102, 462, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 102, 462, 872 is 1.
1. What is the GCD of 741, 102, 462, 872?
GCD of given numbers 741, 102, 462, 872 is 1
2. How to calculate the greatest common divisor of 741, 102, 462, 872?
We can find the highest common divisor of 741, 102, 462, 872 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, 102, 462, 872 i.e 1.
3. How can I use the GCD of 741, 102, 462, 872Calculator?
Out the numbers 741, 102, 462, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.