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GCD of 378, 537, 572, 784 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 537, 572, 784 quickly. Get the easiest ways to solve the greatest common divisor of 378, 537, 572, 784 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 537, 572, 784 with Factoring?

Given Input numbers are 378, 537, 572, 784

In the factoring method, we have to find the divisors of all numbers

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784


GCD of numbers is the greatest common divisor

So, the GCD (378, 537, 572, 784) = 1.

Find GCD of 378, 537, 572, 784 using Prime Factorization

Given numbers are 378, 537, 572, 784

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 537 are 3 x 179

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 378, 537, 572, 784 using LCM Formula

Given numbers are 378, 537, 572, 784

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(378, 537) = 67662

GCD(378, 537) = ( 378 x 537 ) / 67662

= 378 / 537

= 378


Step2:

LCM(3, 572) = 1716

GCD(3, 572) = ( 3 x 572 ) / 1716

= 3 / 572

= 3


Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1


So, Greatest Common Divisor of 378, 537, 572, 784 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 537, 572, 784

Given numbers are 378, 537, 572, 784
The greatest common divisor of numbers 378, 537, 572, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 537, 572, 784 is 1.

FAQs on GCD of 378, 537, 572, 784 Calculator

1. What is the GCD of 378, 537, 572, 784?

GCD of given numbers 378, 537, 572, 784 is 1


2. How to calculate the greatest common divisor of 378, 537, 572, 784?

We can find the highest common divisor of 378, 537, 572, 784 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 378, 537, 572, 784 i.e 1.


3. How can I use the GCD of 378, 537, 572, 784Calculator?

Out the numbers 378, 537, 572, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.