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GCD of 690, 340, 994, 372 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 340, 994, 372 quickly. Get the easiest ways to solve the greatest common divisor of 690, 340, 994, 372 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 340, 994, 372 with Factoring?

Given Input numbers are 690, 340, 994, 372

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 994 :

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

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372


GCD of numbers is the greatest common divisor

So, the GCD (690, 340, 994, 372) = 2.

Find GCD of 690, 340, 994, 372 using Prime Factorization

Given numbers are 690, 340, 994, 372

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 994 are 2 x 7 x 71

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 21

Therefore, GCD of 690, 340, 994, 372 is 2.

Steps to Calculate GCD of 690, 340, 994, 372 using LCM Formula

Given numbers are 690, 340, 994, 372

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

Apply this formula for all numbers.

Step1:

LCM(690, 340) = 23460

GCD(690, 340) = ( 690 x 340 ) / 23460

= 690 / 340

= 690


Step2:

LCM(10, 994) = 4970

GCD(10, 994) = ( 10 x 994 ) / 4970

= 10 / 994

= 10


Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2


So, Greatest Common Divisor of 690, 340, 994, 372 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 340, 994, 372

Given numbers are 690, 340, 994, 372
The greatest common divisor of numbers 690, 340, 994, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 340, 994, 372 is 2.

FAQs on GCD of 690, 340, 994, 372 Calculator

1. What is the GCD of 690, 340, 994, 372?

GCD of given numbers 690, 340, 994, 372 is 2


2. How to calculate the greatest common divisor of 690, 340, 994, 372?

We can find the highest common divisor of 690, 340, 994, 372 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 690, 340, 994, 372 i.e 2.


3. How can I use the GCD of 690, 340, 994, 372Calculator?

Out the numbers 690, 340, 994, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.