Online GCD Calculator is useful to find the GCD of 742, 266, 842, 540 quickly. Get the easiest ways to solve the greatest common divisor of 742, 266, 842, 540 i.e 2 in different methods as follows.
Given Input numbers are 742, 266, 842, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
GCD of numbers is the greatest common divisor
So, the GCD (742, 266, 842, 540) = 2.
Given numbers are 742, 266, 842, 540
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 266 are 2 x 7 x 19
Prime factors of 842 are 2 x 421
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 742, 266, 842, 540 is 2.
Given numbers are 742, 266, 842, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 266) = 14098
GCD(742, 266) = ( 742 x 266 ) / 14098
= 742 / 266
= 742
Step2:
LCM(14, 842) = 5894
GCD(14, 842) = ( 14 x 842 ) / 5894
= 14 / 842
= 14
Step3:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
So, Greatest Common Divisor of 742, 266, 842, 540 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 266, 842, 540
The greatest common divisor of numbers 742, 266, 842, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 266, 842, 540 is 2.
1. What is the GCD of 742, 266, 842, 540?
GCD of given numbers 742, 266, 842, 540 is 2
2. How to calculate the greatest common divisor of 742, 266, 842, 540?
We can find the highest common divisor of 742, 266, 842, 540 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 742, 266, 842, 540 i.e 2.
3. How can I use the GCD of 742, 266, 842, 540Calculator?
Out the numbers 742, 266, 842, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.