Online GCD Calculator is useful to find the GCD of 642, 272, 744, 540 quickly. Get the easiest ways to solve the greatest common divisor of 642, 272, 744, 540 i.e 2 in different methods as follows.
Given Input numbers are 642, 272, 744, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 (642, 272, 744, 540) = 2.
Given numbers are 642, 272, 744, 540
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
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 642, 272, 744, 540 is 2.
Given numbers are 642, 272, 744, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 272) = 87312
GCD(642, 272) = ( 642 x 272 ) / 87312
= 642 / 272
= 642
Step2:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
Step3:
LCM(2, 540) = 540
GCD(2, 540) = ( 2 x 540 ) / 540
= 2 / 540
= 2
So, Greatest Common Divisor of 642, 272, 744, 540 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 272, 744, 540
The greatest common divisor of numbers 642, 272, 744, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 272, 744, 540 is 2.
1. What is the GCD of 642, 272, 744, 540?
GCD of given numbers 642, 272, 744, 540 is 2
2. How to calculate the greatest common divisor of 642, 272, 744, 540?
We can find the highest common divisor of 642, 272, 744, 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 642, 272, 744, 540 i.e 2.
3. How can I use the GCD of 642, 272, 744, 540Calculator?
Out the numbers 642, 272, 744, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.