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GCD of 692, 840, 240, 238 Calculator

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


Online GCD Calculator is useful to find the GCD of 692, 840, 240, 238 quickly. Get the easiest ways to solve the greatest common divisor of 692, 840, 240, 238 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 692, 840, 240, 238 with Factoring?

Given Input numbers are 692, 840, 240, 238

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (692, 840, 240, 238) = 2.

Find GCD of 692, 840, 240, 238 using Prime Factorization

Given numbers are 692, 840, 240, 238

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 692, 840, 240, 238 is 2.

Steps to Calculate GCD of 692, 840, 240, 238 using LCM Formula

Given numbers are 692, 840, 240, 238

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

Apply this formula for all numbers.

Step1:

LCM(692, 840) = 145320

GCD(692, 840) = ( 692 x 840 ) / 145320

= 692 / 840

= 692


Step2:

LCM(4, 240) = 240

GCD(4, 240) = ( 4 x 240 ) / 240

= 4 / 240

= 4


Step3:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4


So, Greatest Common Divisor of 692, 840, 240, 238 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 692, 840, 240, 238

Given numbers are 692, 840, 240, 238
The greatest common divisor of numbers 692, 840, 240, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 840, 240, 238 is 2.

FAQs on GCD of 692, 840, 240, 238 Calculator

1. What is the GCD of 692, 840, 240, 238?

GCD of given numbers 692, 840, 240, 238 is 2


2. How to calculate the greatest common divisor of 692, 840, 240, 238?

We can find the highest common divisor of 692, 840, 240, 238 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 692, 840, 240, 238 i.e 2.


3. How can I use the GCD of 692, 840, 240, 238Calculator?

Out the numbers 692, 840, 240, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.