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GCD of 689, 368, 996, 148 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, 368, 996, 148 quickly. Get the easiest ways to solve the greatest common divisor of 689, 368, 996, 148 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 368, 996, 148 with Factoring?

Given Input numbers are 689, 368, 996, 148

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148


GCD of numbers is the greatest common divisor

So, the GCD (689, 368, 996, 148) = 1.

Find GCD of 689, 368, 996, 148 using Prime Factorization

Given numbers are 689, 368, 996, 148

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 148 are 2 x 2 x 37

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

Steps to Calculate GCD of 689, 368, 996, 148 using LCM Formula

Given numbers are 689, 368, 996, 148

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

Apply this formula for all numbers.

Step1:

LCM(689, 368) = 253552

GCD(689, 368) = ( 689 x 368 ) / 253552

= 689 / 368

= 689


Step2:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1


Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1


So, Greatest Common Divisor of 689, 368, 996, 148 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 368, 996, 148

Given numbers are 689, 368, 996, 148
The greatest common divisor of numbers 689, 368, 996, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 368, 996, 148 is 1.

FAQs on GCD of 689, 368, 996, 148 Calculator

1. What is the GCD of 689, 368, 996, 148?

GCD of given numbers 689, 368, 996, 148 is 1


2. How to calculate the greatest common divisor of 689, 368, 996, 148?

We can find the highest common divisor of 689, 368, 996, 148 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, 368, 996, 148 i.e 1.


3. How can I use the GCD of 689, 368, 996, 148Calculator?

Out the numbers 689, 368, 996, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.