Online GCD Calculator is useful to find the GCD of 714, 805, 996, 272 quickly. Get the easiest ways to solve the greatest common divisor of 714, 805, 996, 272 i.e 1 in different methods as follows.
Given Input numbers are 714, 805, 996, 272
In the factoring method, we have to find the divisors of all numbers
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 805 :
The positive integer divisors of 805 that completely divides 805 are.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (714, 805, 996, 272) = 1.
Given numbers are 714, 805, 996, 272
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 805 are 5 x 7 x 23
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 805, 996, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 805) = 82110
GCD(714, 805) = ( 714 x 805 ) / 82110
= 714 / 805
= 714
Step2:
LCM(7, 996) = 6972
GCD(7, 996) = ( 7 x 996 ) / 6972
= 7 / 996
= 7
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 714, 805, 996, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 805, 996, 272
The greatest common divisor of numbers 714, 805, 996, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 805, 996, 272 is 1.
1. What is the GCD of 714, 805, 996, 272?
GCD of given numbers 714, 805, 996, 272 is 1
2. How to calculate the greatest common divisor of 714, 805, 996, 272?
We can find the highest common divisor of 714, 805, 996, 272 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 714, 805, 996, 272 i.e 1.
3. How can I use the GCD of 714, 805, 996, 272Calculator?
Out the numbers 714, 805, 996, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.