Online GCD Calculator is useful to find the GCD of 624, 699, 975, 471 quickly. Get the easiest ways to solve the greatest common divisor of 624, 699, 975, 471 i.e 3 in different methods as follows.
Given Input numbers are 624, 699, 975, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 (624, 699, 975, 471) = 3.
Given numbers are 624, 699, 975, 471
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 699 are 3 x 233
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 624, 699, 975, 471 is 3.
Given numbers are 624, 699, 975, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 699) = 145392
GCD(624, 699) = ( 624 x 699 ) / 145392
= 624 / 699
= 624
Step2:
LCM(3, 975) = 975
GCD(3, 975) = ( 3 x 975 ) / 975
= 3 / 975
= 3
Step3:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
So, Greatest Common Divisor of 624, 699, 975, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 699, 975, 471
The greatest common divisor of numbers 624, 699, 975, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 699, 975, 471 is 3.
1. What is the GCD of 624, 699, 975, 471?
GCD of given numbers 624, 699, 975, 471 is 3
2. How to calculate the greatest common divisor of 624, 699, 975, 471?
We can find the highest common divisor of 624, 699, 975, 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 624, 699, 975, 471 i.e 3.
3. How can I use the GCD of 624, 699, 975, 471Calculator?
Out the numbers 624, 699, 975, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.