Online GCD Calculator is useful to find the GCD of 297, 870, 471, 267 quickly. Get the easiest ways to solve the greatest common divisor of 297, 870, 471, 267 i.e 3 in different methods as follows.
Given Input numbers are 297, 870, 471, 267
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
GCD of numbers is the greatest common divisor
So, the GCD (297, 870, 471, 267) = 3.
Given numbers are 297, 870, 471, 267
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 471 are 3 x 157
Prime factors of 267 are 3 x 89
The highest common occurrence is 31
Therefore, GCD of 297, 870, 471, 267 is 3.
Given numbers are 297, 870, 471, 267
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 870) = 86130
GCD(297, 870) = ( 297 x 870 ) / 86130
= 297 / 870
= 297
Step2:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
Step3:
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
= 3 / 267
= 3
So, Greatest Common Divisor of 297, 870, 471, 267 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 870, 471, 267
The greatest common divisor of numbers 297, 870, 471, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 870, 471, 267 is 3.
1. What is the GCD of 297, 870, 471, 267?
GCD of given numbers 297, 870, 471, 267 is 3
2. How to calculate the greatest common divisor of 297, 870, 471, 267?
We can find the highest common divisor of 297, 870, 471, 267 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 297, 870, 471, 267 i.e 3.
3. How can I use the GCD of 297, 870, 471, 267Calculator?
Out the numbers 297, 870, 471, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.