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GCD of 350, 492, 994, 938 Calculator

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


Online GCD Calculator is useful to find the GCD of 350, 492, 994, 938 quickly. Get the easiest ways to solve the greatest common divisor of 350, 492, 994, 938 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 350, 492, 994, 938 with Factoring?

Given Input numbers are 350, 492, 994, 938

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 938 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (350, 492, 994, 938) = 2.

Find GCD of 350, 492, 994, 938 using Prime Factorization

Given numbers are 350, 492, 994, 938

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 994 are 2 x 7 x 71

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 21

Therefore, GCD of 350, 492, 994, 938 is 2.

Steps to Calculate GCD of 350, 492, 994, 938 using LCM Formula

Given numbers are 350, 492, 994, 938

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

Apply this formula for all numbers.

Step1:

LCM(350, 492) = 86100

GCD(350, 492) = ( 350 x 492 ) / 86100

= 350 / 492

= 350


Step2:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2


Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2


So, Greatest Common Divisor of 350, 492, 994, 938 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 350, 492, 994, 938

Given numbers are 350, 492, 994, 938
The greatest common divisor of numbers 350, 492, 994, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 492, 994, 938 is 2.

FAQs on GCD of 350, 492, 994, 938 Calculator

1. What is the GCD of 350, 492, 994, 938?

GCD of given numbers 350, 492, 994, 938 is 2


2. How to calculate the greatest common divisor of 350, 492, 994, 938?

We can find the highest common divisor of 350, 492, 994, 938 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 350, 492, 994, 938 i.e 2.


3. How can I use the GCD of 350, 492, 994, 938Calculator?

Out the numbers 350, 492, 994, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.