Online GCD Calculator is useful to find the GCD of 540, 742, 696, 266 quickly. Get the easiest ways to solve the greatest common divisor of 540, 742, 696, 266 i.e 2 in different methods as follows.
Given Input numbers are 540, 742, 696, 266
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
GCD of numbers is the greatest common divisor
So, the GCD (540, 742, 696, 266) = 2.
Given numbers are 540, 742, 696, 266
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 742 are 2 x 7 x 53
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 266 are 2 x 7 x 19
The highest common occurrence is 21
Therefore, GCD of 540, 742, 696, 266 is 2.
Given numbers are 540, 742, 696, 266
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 742) = 200340
GCD(540, 742) = ( 540 x 742 ) / 200340
= 540 / 742
= 540
Step2:
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
= 2 / 696
= 2
Step3:
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
= 2 / 266
= 2
So, Greatest Common Divisor of 540, 742, 696, 266 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 742, 696, 266
The greatest common divisor of numbers 540, 742, 696, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 742, 696, 266 is 2.
1. What is the GCD of 540, 742, 696, 266?
GCD of given numbers 540, 742, 696, 266 is 2
2. How to calculate the greatest common divisor of 540, 742, 696, 266?
We can find the highest common divisor of 540, 742, 696, 266 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 540, 742, 696, 266 i.e 2.
3. How can I use the GCD of 540, 742, 696, 266Calculator?
Out the numbers 540, 742, 696, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.