Online GCD Calculator is useful to find the GCD of 828, 200, 272, 175 quickly. Get the easiest ways to solve the greatest common divisor of 828, 200, 272, 175 i.e 1 in different methods as follows.
Given Input numbers are 828, 200, 272, 175
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
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 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (828, 200, 272, 175) = 1.
Given numbers are 828, 200, 272, 175
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 200, 272, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 200) = 41400
GCD(828, 200) = ( 828 x 200 ) / 41400
= 828 / 200
= 828
Step2:
LCM(4, 272) = 272
GCD(4, 272) = ( 4 x 272 ) / 272
= 4 / 272
= 4
Step3:
LCM(4, 175) = 700
GCD(4, 175) = ( 4 x 175 ) / 700
= 4 / 175
= 4
So, Greatest Common Divisor of 828, 200, 272, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 200, 272, 175
The greatest common divisor of numbers 828, 200, 272, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 200, 272, 175 is 1.
1. What is the GCD of 828, 200, 272, 175?
GCD of given numbers 828, 200, 272, 175 is 1
2. How to calculate the greatest common divisor of 828, 200, 272, 175?
We can find the highest common divisor of 828, 200, 272, 175 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 828, 200, 272, 175 i.e 1.
3. How can I use the GCD of 828, 200, 272, 175Calculator?
Out the numbers 828, 200, 272, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.