Online GCD Calculator is useful to find the GCD of 471, 789, 237, 357 quickly. Get the easiest ways to solve the greatest common divisor of 471, 789, 237, 357 i.e 3 in different methods as follows.
Given Input numbers are 471, 789, 237, 357
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 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (471, 789, 237, 357) = 3.
Given numbers are 471, 789, 237, 357
The list of prime factors of all numbers are
Prime factors of 471 are 3 x 157
Prime factors of 789 are 3 x 263
Prime factors of 237 are 3 x 79
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 471, 789, 237, 357 is 3.
Given numbers are 471, 789, 237, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(471, 789) = 123873
GCD(471, 789) = ( 471 x 789 ) / 123873
= 471 / 789
= 471
Step2:
LCM(3, 237) = 237
GCD(3, 237) = ( 3 x 237 ) / 237
= 3 / 237
= 3
Step3:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
So, Greatest Common Divisor of 471, 789, 237, 357 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 471, 789, 237, 357
The greatest common divisor of numbers 471, 789, 237, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 789, 237, 357 is 3.
1. What is the GCD of 471, 789, 237, 357?
GCD of given numbers 471, 789, 237, 357 is 3
2. How to calculate the greatest common divisor of 471, 789, 237, 357?
We can find the highest common divisor of 471, 789, 237, 357 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, 789, 237, 357 i.e 3.
3. How can I use the GCD of 471, 789, 237, 357Calculator?
Out the numbers 471, 789, 237, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.