Online GCD Calculator is useful to find the GCD of 279, 456, 771, 297 quickly. Get the easiest ways to solve the greatest common divisor of 279, 456, 771, 297 i.e 3 in different methods as follows.
Given Input numbers are 279, 456, 771, 297
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
GCD of numbers is the greatest common divisor
So, the GCD (279, 456, 771, 297) = 3.
Given numbers are 279, 456, 771, 297
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 771 are 3 x 257
Prime factors of 297 are 3 x 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 279, 456, 771, 297 is 3.
Given numbers are 279, 456, 771, 297
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 456) = 42408
GCD(279, 456) = ( 279 x 456 ) / 42408
= 279 / 456
= 279
Step2:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
Step3:
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
= 3 / 297
= 3
So, Greatest Common Divisor of 279, 456, 771, 297 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 456, 771, 297
The greatest common divisor of numbers 279, 456, 771, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 456, 771, 297 is 3.
1. What is the GCD of 279, 456, 771, 297?
GCD of given numbers 279, 456, 771, 297 is 3
2. How to calculate the greatest common divisor of 279, 456, 771, 297?
We can find the highest common divisor of 279, 456, 771, 297 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 279, 456, 771, 297 i.e 3.
3. How can I use the GCD of 279, 456, 771, 297Calculator?
Out the numbers 279, 456, 771, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.