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GCD of 838, 956, 993, 748 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, 956, 993, 748 quickly. Get the easiest ways to solve the greatest common divisor of 838, 956, 993, 748 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 956, 993, 748 with Factoring?

Given Input numbers are 838, 956, 993, 748

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748


GCD of numbers is the greatest common divisor

So, the GCD (838, 956, 993, 748) = 1.

Find GCD of 838, 956, 993, 748 using Prime Factorization

Given numbers are 838, 956, 993, 748

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 956 are 2 x 2 x 239

Prime factors of 993 are 3 x 331

Prime factors of 748 are 2 x 2 x 11 x 17

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

Steps to Calculate GCD of 838, 956, 993, 748 using LCM Formula

Given numbers are 838, 956, 993, 748

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

Apply this formula for all numbers.

Step1:

LCM(838, 956) = 400564

GCD(838, 956) = ( 838 x 956 ) / 400564

= 838 / 956

= 838


Step2:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2


Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1


So, Greatest Common Divisor of 838, 956, 993, 748 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 956, 993, 748

Given numbers are 838, 956, 993, 748
The greatest common divisor of numbers 838, 956, 993, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 956, 993, 748 is 1.

FAQs on GCD of 838, 956, 993, 748 Calculator

1. What is the GCD of 838, 956, 993, 748?

GCD of given numbers 838, 956, 993, 748 is 1


2. How to calculate the greatest common divisor of 838, 956, 993, 748?

We can find the highest common divisor of 838, 956, 993, 748 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, 956, 993, 748 i.e 1.


3. How can I use the GCD of 838, 956, 993, 748Calculator?

Out the numbers 838, 956, 993, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.