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GCD of 940, 240, 838, 675 Calculator

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


Online GCD Calculator is useful to find the GCD of 940, 240, 838, 675 quickly. Get the easiest ways to solve the greatest common divisor of 940, 240, 838, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 940, 240, 838, 675 with Factoring?

Given Input numbers are 940, 240, 838, 675

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675


GCD of numbers is the greatest common divisor

So, the GCD (940, 240, 838, 675) = 1.

Find GCD of 940, 240, 838, 675 using Prime Factorization

Given numbers are 940, 240, 838, 675

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

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

Prime factors of 838 are 2 x 419

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Steps to Calculate GCD of 940, 240, 838, 675 using LCM Formula

Given numbers are 940, 240, 838, 675

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

Apply this formula for all numbers.

Step1:

LCM(940, 240) = 11280

GCD(940, 240) = ( 940 x 240 ) / 11280

= 940 / 240

= 940


Step2:

LCM(20, 838) = 8380

GCD(20, 838) = ( 20 x 838 ) / 8380

= 20 / 838

= 20


Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


So, Greatest Common Divisor of 940, 240, 838, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 940, 240, 838, 675

Given numbers are 940, 240, 838, 675
The greatest common divisor of numbers 940, 240, 838, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 240, 838, 675 is 1.

FAQs on GCD of 940, 240, 838, 675 Calculator

1. What is the GCD of 940, 240, 838, 675?

GCD of given numbers 940, 240, 838, 675 is 1


2. How to calculate the greatest common divisor of 940, 240, 838, 675?

We can find the highest common divisor of 940, 240, 838, 675 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 940, 240, 838, 675 i.e 1.


3. How can I use the GCD of 940, 240, 838, 675Calculator?

Out the numbers 940, 240, 838, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.