Online GCD Calculator is useful to find the GCD of 201, 748, 533, 782 quickly. Get the easiest ways to solve the greatest common divisor of 201, 748, 533, 782 i.e 1 in different methods as follows.
Given Input numbers are 201, 748, 533, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (201, 748, 533, 782) = 1.
Given numbers are 201, 748, 533, 782
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 533 are 13 x 41
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 201, 748, 533, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 748) = 150348
GCD(201, 748) = ( 201 x 748 ) / 150348
= 201 / 748
= 201
Step2:
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
= 1 / 533
= 1
Step3:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
So, Greatest Common Divisor of 201, 748, 533, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 201, 748, 533, 782
The greatest common divisor of numbers 201, 748, 533, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 748, 533, 782 is 1.
1. What is the GCD of 201, 748, 533, 782?
GCD of given numbers 201, 748, 533, 782 is 1
2. How to calculate the greatest common divisor of 201, 748, 533, 782?
We can find the highest common divisor of 201, 748, 533, 782 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 201, 748, 533, 782 i.e 1.
3. How can I use the GCD of 201, 748, 533, 782Calculator?
Out the numbers 201, 748, 533, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.