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GCD of 938, 822, 189, 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 938, 822, 189, 784 quickly. Get the easiest ways to solve the greatest common divisor of 938, 822, 189, 784 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 938, 822, 189, 784 with Factoring?

Given Input numbers are 938, 822, 189, 784

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 (938, 822, 189, 784) = 1.

Find GCD of 938, 822, 189, 784 using Prime Factorization

Given numbers are 938, 822, 189, 784

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 822 are 2 x 3 x 137

Prime factors of 189 are 3 x 3 x 3 x 7

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 938, 822, 189, 784 using LCM Formula

Given numbers are 938, 822, 189, 784

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

Apply this formula for all numbers.

Step1:

LCM(938, 822) = 385518

GCD(938, 822) = ( 938 x 822 ) / 385518

= 938 / 822

= 938


Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2


Step3:

LCM(1, 784) = 784

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

= 1 / 784

= 1


So, Greatest Common Divisor of 938, 822, 189, 784 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 938, 822, 189, 784

Given numbers are 938, 822, 189, 784
The greatest common divisor of numbers 938, 822, 189, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 822, 189, 784 is 1.

FAQs on GCD of 938, 822, 189, 784 Calculator

1. What is the GCD of 938, 822, 189, 784?

GCD of given numbers 938, 822, 189, 784 is 1


2. How to calculate the greatest common divisor of 938, 822, 189, 784?

We can find the highest common divisor of 938, 822, 189, 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 938, 822, 189, 784 i.e 1.


3. How can I use the GCD of 938, 822, 189, 784Calculator?

Out the numbers 938, 822, 189, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.