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GCD of 598, 800, 77, 628 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, 800, 77, 628 quickly. Get the easiest ways to solve the greatest common divisor of 598, 800, 77, 628 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 598, 800, 77, 628 with Factoring?

Given Input numbers are 598, 800, 77, 628

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (598, 800, 77, 628) = 1.

Find GCD of 598, 800, 77, 628 using Prime Factorization

Given numbers are 598, 800, 77, 628

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 77 are 7 x 11

Prime factors of 628 are 2 x 2 x 157

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

Steps to Calculate GCD of 598, 800, 77, 628 using LCM Formula

Given numbers are 598, 800, 77, 628

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

Apply this formula for all numbers.

Step1:

LCM(598, 800) = 239200

GCD(598, 800) = ( 598 x 800 ) / 239200

= 598 / 800

= 598


Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2


Step3:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1


So, Greatest Common Divisor of 598, 800, 77, 628 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 598, 800, 77, 628

Given numbers are 598, 800, 77, 628
The greatest common divisor of numbers 598, 800, 77, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 800, 77, 628 is 1.

FAQs on GCD of 598, 800, 77, 628 Calculator

1. What is the GCD of 598, 800, 77, 628?

GCD of given numbers 598, 800, 77, 628 is 1


2. How to calculate the greatest common divisor of 598, 800, 77, 628?

We can find the highest common divisor of 598, 800, 77, 628 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, 800, 77, 628 i.e 1.


3. How can I use the GCD of 598, 800, 77, 628Calculator?

Out the numbers 598, 800, 77, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.