Online GCD Calculator is useful to find the GCD of 696, 633, 249, 282 quickly. Get the easiest ways to solve the greatest common divisor of 696, 633, 249, 282 i.e 3 in different methods as follows.
Given Input numbers are 696, 633, 249, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (696, 633, 249, 282) = 3.
Given numbers are 696, 633, 249, 282
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 633 are 3 x 211
Prime factors of 249 are 3 x 83
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 696, 633, 249, 282 is 3.
Given numbers are 696, 633, 249, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 633) = 146856
GCD(696, 633) = ( 696 x 633 ) / 146856
= 696 / 633
= 696
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
Step3:
LCM(3, 282) = 282
GCD(3, 282) = ( 3 x 282 ) / 282
= 3 / 282
= 3
So, Greatest Common Divisor of 696, 633, 249, 282 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 633, 249, 282
The greatest common divisor of numbers 696, 633, 249, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 633, 249, 282 is 3.
1. What is the GCD of 696, 633, 249, 282?
GCD of given numbers 696, 633, 249, 282 is 3
2. How to calculate the greatest common divisor of 696, 633, 249, 282?
We can find the highest common divisor of 696, 633, 249, 282 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 696, 633, 249, 282 i.e 3.
3. How can I use the GCD of 696, 633, 249, 282Calculator?
Out the numbers 696, 633, 249, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.