Online GCD Calculator is useful to find the GCD of 735, 249, 936, 273 quickly. Get the easiest ways to solve the greatest common divisor of 735, 249, 936, 273 i.e 3 in different methods as follows.
Given Input numbers are 735, 249, 936, 273
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
GCD of numbers is the greatest common divisor
So, the GCD (735, 249, 936, 273) = 3.
Given numbers are 735, 249, 936, 273
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 249 are 3 x 83
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 273 are 3 x 7 x 13
The highest common occurrence is 31
Therefore, GCD of 735, 249, 936, 273 is 3.
Given numbers are 735, 249, 936, 273
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 249) = 61005
GCD(735, 249) = ( 735 x 249 ) / 61005
= 735 / 249
= 735
Step2:
LCM(3, 936) = 936
GCD(3, 936) = ( 3 x 936 ) / 936
= 3 / 936
= 3
Step3:
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
= 3 / 273
= 3
So, Greatest Common Divisor of 735, 249, 936, 273 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 249, 936, 273
The greatest common divisor of numbers 735, 249, 936, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 249, 936, 273 is 3.
1. What is the GCD of 735, 249, 936, 273?
GCD of given numbers 735, 249, 936, 273 is 3
2. How to calculate the greatest common divisor of 735, 249, 936, 273?
We can find the highest common divisor of 735, 249, 936, 273 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 735, 249, 936, 273 i.e 3.
3. How can I use the GCD of 735, 249, 936, 273Calculator?
Out the numbers 735, 249, 936, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.