Online GCD Calculator is useful to find the GCD of 842, 548, 749 quickly. Get the easiest ways to solve the greatest common divisor of 842, 548, 749 i.e 1 in different methods as follows.
Given Input numbers are 842, 548, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (842, 548, 749) = 1.
Given numbers are 842, 548, 749
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 548 are 2 x 2 x 137
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 842, 548, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 548) = 230708
GCD(842, 548) = ( 842 x 548 ) / 230708
= 842 / 548
= 842
Step2:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
So, Greatest Common Divisor of 842, 548, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 548, 749
The greatest common divisor of numbers 842, 548, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 548, 749 is 1.
1. What is the GCD of 842, 548, 749?
GCD of given numbers 842, 548, 749 is 1
2. How to calculate the greatest common divisor of 842, 548, 749?
We can find the highest common divisor of 842, 548, 749 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 842, 548, 749 i.e 1.
3. How can I use the GCD of 842, 548, 749Calculator?
Out the numbers 842, 548, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.