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GCD of 598, 771, 838, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 598, 771, 838, 772 quickly. Get the easiest ways to solve the greatest common divisor of 598, 771, 838, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 598, 771, 838, 772 with Factoring?

Given Input numbers are 598, 771, 838, 772

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

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (598, 771, 838, 772) = 1.

Find GCD of 598, 771, 838, 772 using Prime Factorization

Given numbers are 598, 771, 838, 772

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 771 are 3 x 257

Prime factors of 838 are 2 x 419

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 598, 771, 838, 772 using LCM Formula

Given numbers are 598, 771, 838, 772

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

Apply this formula for all numbers.

Step1:

LCM(598, 771) = 461058

GCD(598, 771) = ( 598 x 771 ) / 461058

= 598 / 771

= 598


Step2:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 598, 771, 838, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 598, 771, 838, 772

Given numbers are 598, 771, 838, 772
The greatest common divisor of numbers 598, 771, 838, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 771, 838, 772 is 1.

FAQs on GCD of 598, 771, 838, 772 Calculator

1. What is the GCD of 598, 771, 838, 772?

GCD of given numbers 598, 771, 838, 772 is 1


2. How to calculate the greatest common divisor of 598, 771, 838, 772?

We can find the highest common divisor of 598, 771, 838, 772 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 598, 771, 838, 772 i.e 1.


3. How can I use the GCD of 598, 771, 838, 772Calculator?

Out the numbers 598, 771, 838, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.