Online GCD Calculator is useful to find the GCD of 711, 747, 957, 471 quickly. Get the easiest ways to solve the greatest common divisor of 711, 747, 957, 471 i.e 3 in different methods as follows.
Given Input numbers are 711, 747, 957, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (711, 747, 957, 471) = 3.
Given numbers are 711, 747, 957, 471
The list of prime factors of all numbers are
Prime factors of 711 are 3 x 3 x 79
Prime factors of 747 are 3 x 3 x 83
Prime factors of 957 are 3 x 11 x 29
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 711, 747, 957, 471 is 3.
Given numbers are 711, 747, 957, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(711, 747) = 59013
GCD(711, 747) = ( 711 x 747 ) / 59013
= 711 / 747
= 711
Step2:
LCM(9, 957) = 2871
GCD(9, 957) = ( 9 x 957 ) / 2871
= 9 / 957
= 9
Step3:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
So, Greatest Common Divisor of 711, 747, 957, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 711, 747, 957, 471
The greatest common divisor of numbers 711, 747, 957, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 747, 957, 471 is 3.
1. What is the GCD of 711, 747, 957, 471?
GCD of given numbers 711, 747, 957, 471 is 3
2. How to calculate the greatest common divisor of 711, 747, 957, 471?
We can find the highest common divisor of 711, 747, 957, 471 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 711, 747, 957, 471 i.e 3.
3. How can I use the GCD of 711, 747, 957, 471Calculator?
Out the numbers 711, 747, 957, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.