Online GCD Calculator is useful to find the GCD of 537, 420, 540, 737 quickly. Get the easiest ways to solve the greatest common divisor of 537, 420, 540, 737 i.e 1 in different methods as follows.
Given Input numbers are 537, 420, 540, 737
In the factoring method, we have to find the divisors of all numbers
Divisors of 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
GCD of numbers is the greatest common divisor
So, the GCD (537, 420, 540, 737) = 1.
Given numbers are 537, 420, 540, 737
The list of prime factors of all numbers are
Prime factors of 537 are 3 x 179
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 737 are 11 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 537, 420, 540, 737
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(537, 420) = 75180
GCD(537, 420) = ( 537 x 420 ) / 75180
= 537 / 420
= 537
Step2:
LCM(3, 540) = 540
GCD(3, 540) = ( 3 x 540 ) / 540
= 3 / 540
= 3
Step3:
LCM(3, 737) = 2211
GCD(3, 737) = ( 3 x 737 ) / 2211
= 3 / 737
= 3
So, Greatest Common Divisor of 537, 420, 540, 737 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 537, 420, 540, 737
The greatest common divisor of numbers 537, 420, 540, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 420, 540, 737 is 1.
1. What is the GCD of 537, 420, 540, 737?
GCD of given numbers 537, 420, 540, 737 is 1
2. How to calculate the greatest common divisor of 537, 420, 540, 737?
We can find the highest common divisor of 537, 420, 540, 737 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 537, 420, 540, 737 i.e 1.
3. How can I use the GCD of 537, 420, 540, 737Calculator?
Out the numbers 537, 420, 540, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.