Online GCD Calculator is useful to find the GCD of 525, 305, 828, 357 quickly. Get the easiest ways to solve the greatest common divisor of 525, 305, 828, 357 i.e 1 in different methods as follows.
Given Input numbers are 525, 305, 828, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (525, 305, 828, 357) = 1.
Given numbers are 525, 305, 828, 357
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 305 are 5 x 61
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 525, 305, 828, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 305) = 32025
GCD(525, 305) = ( 525 x 305 ) / 32025
= 525 / 305
= 525
Step2:
LCM(5, 828) = 4140
GCD(5, 828) = ( 5 x 828 ) / 4140
= 5 / 828
= 5
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 525, 305, 828, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 305, 828, 357
The greatest common divisor of numbers 525, 305, 828, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 305, 828, 357 is 1.
1. What is the GCD of 525, 305, 828, 357?
GCD of given numbers 525, 305, 828, 357 is 1
2. How to calculate the greatest common divisor of 525, 305, 828, 357?
We can find the highest common divisor of 525, 305, 828, 357 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 525, 305, 828, 357 i.e 1.
3. How can I use the GCD of 525, 305, 828, 357Calculator?
Out the numbers 525, 305, 828, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.