Online GCD Calculator is useful to find the GCD of 746, 764, 842, 558 quickly. Get the easiest ways to solve the greatest common divisor of 746, 764, 842, 558 i.e 2 in different methods as follows.
Given Input numbers are 746, 764, 842, 558
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
GCD of numbers is the greatest common divisor
So, the GCD (746, 764, 842, 558) = 2.
Given numbers are 746, 764, 842, 558
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 764 are 2 x 2 x 191
Prime factors of 842 are 2 x 421
Prime factors of 558 are 2 x 3 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 746, 764, 842, 558 is 2.
Given numbers are 746, 764, 842, 558
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 764) = 284972
GCD(746, 764) = ( 746 x 764 ) / 284972
= 746 / 764
= 746
Step2:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
Step3:
LCM(2, 558) = 558
GCD(2, 558) = ( 2 x 558 ) / 558
= 2 / 558
= 2
So, Greatest Common Divisor of 746, 764, 842, 558 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 764, 842, 558
The greatest common divisor of numbers 746, 764, 842, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 764, 842, 558 is 2.
1. What is the GCD of 746, 764, 842, 558?
GCD of given numbers 746, 764, 842, 558 is 2
2. How to calculate the greatest common divisor of 746, 764, 842, 558?
We can find the highest common divisor of 746, 764, 842, 558 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 746, 764, 842, 558 i.e 2.
3. How can I use the GCD of 746, 764, 842, 558Calculator?
Out the numbers 746, 764, 842, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.