Online GCD Calculator is useful to find the GCD of 825, 511, 742, 207 quickly. Get the easiest ways to solve the greatest common divisor of 825, 511, 742, 207 i.e 1 in different methods as follows.
Given Input numbers are 825, 511, 742, 207
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 511 :
The positive integer divisors of 511 that completely divides 511 are.
1, 7, 73, 511
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (825, 511, 742, 207) = 1.
Given numbers are 825, 511, 742, 207
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 511 are 7 x 73
Prime factors of 742 are 2 x 7 x 53
Prime factors of 207 are 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 825, 511, 742, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 511) = 421575
GCD(825, 511) = ( 825 x 511 ) / 421575
= 825 / 511
= 825
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
= 1 / 207
= 1
So, Greatest Common Divisor of 825, 511, 742, 207 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 825, 511, 742, 207
The greatest common divisor of numbers 825, 511, 742, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 511, 742, 207 is 1.
1. What is the GCD of 825, 511, 742, 207?
GCD of given numbers 825, 511, 742, 207 is 1
2. How to calculate the greatest common divisor of 825, 511, 742, 207?
We can find the highest common divisor of 825, 511, 742, 207 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 825, 511, 742, 207 i.e 1.
3. How can I use the GCD of 825, 511, 742, 207Calculator?
Out the numbers 825, 511, 742, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.