Online GCD Calculator is useful to find the GCD of 272, 714, 292 quickly. Get the easiest ways to solve the greatest common divisor of 272, 714, 292 i.e 2 in different methods as follows.
Given Input numbers are 272, 714, 292
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
GCD of numbers is the greatest common divisor
So, the GCD (272, 714, 292) = 2.
Given numbers are 272, 714, 292
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 292 are 2 x 2 x 73
The highest common occurrence is 21
Therefore, GCD of 272, 714, 292 is 2.
Given numbers are 272, 714, 292
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 714) = 5712
GCD(272, 714) = ( 272 x 714 ) / 5712
= 272 / 714
= 272
Step2:
LCM(34, 292) = 4964
GCD(34, 292) = ( 34 x 292 ) / 4964
= 34 / 292
= 34
So, Greatest Common Divisor of 272, 714, 292 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 714, 292
The greatest common divisor of numbers 272, 714, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 714, 292 is 2.
1. What is the GCD of 272, 714, 292?
GCD of given numbers 272, 714, 292 is 2
2. How to calculate the greatest common divisor of 272, 714, 292?
We can find the highest common divisor of 272, 714, 292 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 272, 714, 292 i.e 2.
3. How can I use the GCD of 272, 714, 292Calculator?
Out the numbers 272, 714, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.