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GCD of 577, 760, 584, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 577, 760, 584, 998 quickly. Get the easiest ways to solve the greatest common divisor of 577, 760, 584, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 577, 760, 584, 998 with Factoring?

Given Input numbers are 577, 760, 584, 998

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

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (577, 760, 584, 998) = 1.

Find GCD of 577, 760, 584, 998 using Prime Factorization

Given numbers are 577, 760, 584, 998

The list of prime factors of all numbers are

Prime factors of 577 are 577

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 577, 760, 584, 998 using LCM Formula

Given numbers are 577, 760, 584, 998

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

Apply this formula for all numbers.

Step1:

LCM(577, 760) = 438520

GCD(577, 760) = ( 577 x 760 ) / 438520

= 577 / 760

= 577


Step2:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1


Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


So, Greatest Common Divisor of 577, 760, 584, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 577, 760, 584, 998

Given numbers are 577, 760, 584, 998
The greatest common divisor of numbers 577, 760, 584, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 577, 760, 584, 998 is 1.

FAQs on GCD of 577, 760, 584, 998 Calculator

1. What is the GCD of 577, 760, 584, 998?

GCD of given numbers 577, 760, 584, 998 is 1


2. How to calculate the greatest common divisor of 577, 760, 584, 998?

We can find the highest common divisor of 577, 760, 584, 998 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 577, 760, 584, 998 i.e 1.


3. How can I use the GCD of 577, 760, 584, 998Calculator?

Out the numbers 577, 760, 584, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.