Online GCD Calculator is useful to find the GCD of 272, 153, 787, 825 quickly. Get the easiest ways to solve the greatest common divisor of 272, 153, 787, 825 i.e 1 in different methods as follows.
Given Input numbers are 272, 153, 787, 825
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 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
Divisors of 787 :
The positive integer divisors of 787 that completely divides 787 are.
1, 787
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (272, 153, 787, 825) = 1.
Given numbers are 272, 153, 787, 825
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 153 are 3 x 3 x 17
Prime factors of 787 are 787
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 153, 787, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 153) = 2448
GCD(272, 153) = ( 272 x 153 ) / 2448
= 272 / 153
= 272
Step2:
LCM(17, 787) = 13379
GCD(17, 787) = ( 17 x 787 ) / 13379
= 17 / 787
= 17
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 272, 153, 787, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 153, 787, 825
The greatest common divisor of numbers 272, 153, 787, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 153, 787, 825 is 1.
1. What is the GCD of 272, 153, 787, 825?
GCD of given numbers 272, 153, 787, 825 is 1
2. How to calculate the greatest common divisor of 272, 153, 787, 825?
We can find the highest common divisor of 272, 153, 787, 825 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, 153, 787, 825 i.e 1.
3. How can I use the GCD of 272, 153, 787, 825Calculator?
Out the numbers 272, 153, 787, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.