Online GCD Calculator is useful to find the GCD of 471, 998, 761, 872 quickly. Get the easiest ways to solve the greatest common divisor of 471, 998, 761, 872 i.e 1 in different methods as follows.
Given Input numbers are 471, 998, 761, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
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 (471, 998, 761, 872) = 1.
Given numbers are 471, 998, 761, 872
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 998 are 2 x 499
Prime factors of 761 are 761
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 471, 998, 761, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 998) = 470058
GCD(471, 998) = ( 471 x 998 ) / 470058
= 471 / 998
= 471
Step2:
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
= 1 / 761
= 1
Step3:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
So, Greatest Common Divisor of 471, 998, 761, 872 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 998, 761, 872
The greatest common divisor of numbers 471, 998, 761, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 998, 761, 872 is 1.
1. What is the GCD of 471, 998, 761, 872?
GCD of given numbers 471, 998, 761, 872 is 1
2. How to calculate the greatest common divisor of 471, 998, 761, 872?
We can find the highest common divisor of 471, 998, 761, 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 471, 998, 761, 872 i.e 1.
3. How can I use the GCD of 471, 998, 761, 872Calculator?
Out the numbers 471, 998, 761, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.