Online GCD Calculator is useful to find the GCD of 297, 858, 942, 228 quickly. Get the easiest ways to solve the greatest common divisor of 297, 858, 942, 228 i.e 3 in different methods as follows.
Given Input numbers are 297, 858, 942, 228
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 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (297, 858, 942, 228) = 3.
Given numbers are 297, 858, 942, 228
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 942 are 2 x 3 x 157
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 297, 858, 942, 228 is 3.
Given numbers are 297, 858, 942, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 858) = 7722
GCD(297, 858) = ( 297 x 858 ) / 7722
= 297 / 858
= 297
Step2:
LCM(33, 942) = 10362
GCD(33, 942) = ( 33 x 942 ) / 10362
= 33 / 942
= 33
Step3:
LCM(3, 228) = 228
GCD(3, 228) = ( 3 x 228 ) / 228
= 3 / 228
= 3
So, Greatest Common Divisor of 297, 858, 942, 228 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 858, 942, 228
The greatest common divisor of numbers 297, 858, 942, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 858, 942, 228 is 3.
1. What is the GCD of 297, 858, 942, 228?
GCD of given numbers 297, 858, 942, 228 is 3
2. How to calculate the greatest common divisor of 297, 858, 942, 228?
We can find the highest common divisor of 297, 858, 942, 228 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, 858, 942, 228 i.e 3.
3. How can I use the GCD of 297, 858, 942, 228Calculator?
Out the numbers 297, 858, 942, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.