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GCD of 838, 742, 960, 207 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 742, 960, 207 quickly. Get the easiest ways to solve the greatest common divisor of 838, 742, 960, 207 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 742, 960, 207 with Factoring?

Given Input numbers are 838, 742, 960, 207

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

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207


GCD of numbers is the greatest common divisor

So, the GCD (838, 742, 960, 207) = 1.

Find GCD of 838, 742, 960, 207 using Prime Factorization

Given numbers are 838, 742, 960, 207

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 742 are 2 x 7 x 53

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 207 are 3 x 3 x 23

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

Steps to Calculate GCD of 838, 742, 960, 207 using LCM Formula

Given numbers are 838, 742, 960, 207

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

Apply this formula for all numbers.

Step1:

LCM(838, 742) = 310898

GCD(838, 742) = ( 838 x 742 ) / 310898

= 838 / 742

= 838


Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2


Step3:

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

= 2 / 207

= 2


So, Greatest Common Divisor of 838, 742, 960, 207 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 742, 960, 207

Given numbers are 838, 742, 960, 207
The greatest common divisor of numbers 838, 742, 960, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 742, 960, 207 is 1.

FAQs on GCD of 838, 742, 960, 207 Calculator

1. What is the GCD of 838, 742, 960, 207?

GCD of given numbers 838, 742, 960, 207 is 1


2. How to calculate the greatest common divisor of 838, 742, 960, 207?

We can find the highest common divisor of 838, 742, 960, 207 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 838, 742, 960, 207 i.e 1.


3. How can I use the GCD of 838, 742, 960, 207Calculator?

Out the numbers 838, 742, 960, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.