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GCD of 537, 420, 540, 737 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 537, 420, 540, 737 with Factoring?

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.

Find GCD of 537, 420, 540, 737 using Prime Factorization

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

Steps to Calculate GCD of 537, 420, 540, 737 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 537, 420, 540, 737

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.

FAQs on GCD of 537, 420, 540, 737 Calculator

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.