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GCD of 689, 848, 978, 110 Calculator

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


Online GCD Calculator is useful to find the GCD of 689, 848, 978, 110 quickly. Get the easiest ways to solve the greatest common divisor of 689, 848, 978, 110 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 848, 978, 110 with Factoring?

Given Input numbers are 689, 848, 978, 110

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110


GCD of numbers is the greatest common divisor

So, the GCD (689, 848, 978, 110) = 1.

Find GCD of 689, 848, 978, 110 using Prime Factorization

Given numbers are 689, 848, 978, 110

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 978 are 2 x 3 x 163

Prime factors of 110 are 2 x 5 x 11

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

Steps to Calculate GCD of 689, 848, 978, 110 using LCM Formula

Given numbers are 689, 848, 978, 110

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

Apply this formula for all numbers.

Step1:

LCM(689, 848) = 11024

GCD(689, 848) = ( 689 x 848 ) / 11024

= 689 / 848

= 689


Step2:

LCM(53, 978) = 51834

GCD(53, 978) = ( 53 x 978 ) / 51834

= 53 / 978

= 53


Step3:

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

= 1 / 110

= 1


So, Greatest Common Divisor of 689, 848, 978, 110 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 848, 978, 110

Given numbers are 689, 848, 978, 110
The greatest common divisor of numbers 689, 848, 978, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 848, 978, 110 is 1.

FAQs on GCD of 689, 848, 978, 110 Calculator

1. What is the GCD of 689, 848, 978, 110?

GCD of given numbers 689, 848, 978, 110 is 1


2. How to calculate the greatest common divisor of 689, 848, 978, 110?

We can find the highest common divisor of 689, 848, 978, 110 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 689, 848, 978, 110 i.e 1.


3. How can I use the GCD of 689, 848, 978, 110Calculator?

Out the numbers 689, 848, 978, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.