Online GCD Calculator is useful to find the GCD of 272, 694, 15, 102 quickly. Get the easiest ways to solve the greatest common divisor of 272, 694, 15, 102 i.e 1 in different methods as follows.
Given Input numbers are 272, 694, 15, 102
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 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 15 :
The positive integer divisors of 15 that completely divides 15 are.
1, 3, 5, 15
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (272, 694, 15, 102) = 1.
Given numbers are 272, 694, 15, 102
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 694 are 2 x 347
Prime factors of 15 are 3 x 5
Prime factors of 102 are 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 694, 15, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 694) = 94384
GCD(272, 694) = ( 272 x 694 ) / 94384
= 272 / 694
= 272
Step2:
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
= 2 / 15
= 2
Step3:
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
= 1 / 102
= 1
So, Greatest Common Divisor of 272, 694, 15, 102 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 694, 15, 102
The greatest common divisor of numbers 272, 694, 15, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 694, 15, 102 is 1.
1. What is the GCD of 272, 694, 15, 102?
GCD of given numbers 272, 694, 15, 102 is 1
2. How to calculate the greatest common divisor of 272, 694, 15, 102?
We can find the highest common divisor of 272, 694, 15, 102 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, 694, 15, 102 i.e 1.
3. How can I use the GCD of 272, 694, 15, 102Calculator?
Out the numbers 272, 694, 15, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.