Online GCD Calculator is useful to find the GCD of 532, 782, 343, 204 quickly. Get the easiest ways to solve the greatest common divisor of 532, 782, 343, 204 i.e 1 in different methods as follows.
Given Input numbers are 532, 782, 343, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (532, 782, 343, 204) = 1.
Given numbers are 532, 782, 343, 204
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 782 are 2 x 17 x 23
Prime factors of 343 are 7 x 7 x 7
Prime factors of 204 are 2 x 2 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 532, 782, 343, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 782) = 208012
GCD(532, 782) = ( 532 x 782 ) / 208012
= 532 / 782
= 532
Step2:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
Step3:
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
= 1 / 204
= 1
So, Greatest Common Divisor of 532, 782, 343, 204 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 782, 343, 204
The greatest common divisor of numbers 532, 782, 343, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 782, 343, 204 is 1.
1. What is the GCD of 532, 782, 343, 204?
GCD of given numbers 532, 782, 343, 204 is 1
2. How to calculate the greatest common divisor of 532, 782, 343, 204?
We can find the highest common divisor of 532, 782, 343, 204 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 532, 782, 343, 204 i.e 1.
3. How can I use the GCD of 532, 782, 343, 204Calculator?
Out the numbers 532, 782, 343, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.