Online GCD Calculator is useful to find the GCD of 782, 242, 561, 616 quickly. Get the easiest ways to solve the greatest common divisor of 782, 242, 561, 616 i.e 1 in different methods as follows.
Given Input numbers are 782, 242, 561, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (782, 242, 561, 616) = 1.
Given numbers are 782, 242, 561, 616
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 242 are 2 x 11 x 11
Prime factors of 561 are 3 x 11 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 242, 561, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 242) = 94622
GCD(782, 242) = ( 782 x 242 ) / 94622
= 782 / 242
= 782
Step2:
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
= 2 / 561
= 2
Step3:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
So, Greatest Common Divisor of 782, 242, 561, 616 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 242, 561, 616
The greatest common divisor of numbers 782, 242, 561, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 242, 561, 616 is 1.
1. What is the GCD of 782, 242, 561, 616?
GCD of given numbers 782, 242, 561, 616 is 1
2. How to calculate the greatest common divisor of 782, 242, 561, 616?
We can find the highest common divisor of 782, 242, 561, 616 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 782, 242, 561, 616 i.e 1.
3. How can I use the GCD of 782, 242, 561, 616Calculator?
Out the numbers 782, 242, 561, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.