Online GCD Calculator is useful to find the GCD of 782, 841, 755, 342 quickly. Get the easiest ways to solve the greatest common divisor of 782, 841, 755, 342 i.e 1 in different methods as follows.
Given Input numbers are 782, 841, 755, 342
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 841 :
The positive integer divisors of 841 that completely divides 841 are.
1, 29, 841
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (782, 841, 755, 342) = 1.
Given numbers are 782, 841, 755, 342
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 841 are 29 x 29
Prime factors of 755 are 5 x 151
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 841, 755, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 841) = 657662
GCD(782, 841) = ( 782 x 841 ) / 657662
= 782 / 841
= 782
Step2:
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
= 1 / 755
= 1
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 782, 841, 755, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 841, 755, 342
The greatest common divisor of numbers 782, 841, 755, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 841, 755, 342 is 1.
1. What is the GCD of 782, 841, 755, 342?
GCD of given numbers 782, 841, 755, 342 is 1
2. How to calculate the greatest common divisor of 782, 841, 755, 342?
We can find the highest common divisor of 782, 841, 755, 342 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, 841, 755, 342 i.e 1.
3. How can I use the GCD of 782, 841, 755, 342Calculator?
Out the numbers 782, 841, 755, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.