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GCD of 133, 896, 700, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 133, 896, 700, 689 quickly. Get the easiest ways to solve the greatest common divisor of 133, 896, 700, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 133, 896, 700, 689 with Factoring?

Given Input numbers are 133, 896, 700, 689

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 689 :

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

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (133, 896, 700, 689) = 1.

Find GCD of 133, 896, 700, 689 using Prime Factorization

Given numbers are 133, 896, 700, 689

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 133, 896, 700, 689 using LCM Formula

Given numbers are 133, 896, 700, 689

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

Apply this formula for all numbers.

Step1:

LCM(133, 896) = 17024

GCD(133, 896) = ( 133 x 896 ) / 17024

= 133 / 896

= 133


Step2:

LCM(7, 700) = 700

GCD(7, 700) = ( 7 x 700 ) / 700

= 7 / 700

= 7


Step3:

LCM(7, 689) = 4823

GCD(7, 689) = ( 7 x 689 ) / 4823

= 7 / 689

= 7


So, Greatest Common Divisor of 133, 896, 700, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 133, 896, 700, 689

Given numbers are 133, 896, 700, 689
The greatest common divisor of numbers 133, 896, 700, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 896, 700, 689 is 1.

FAQs on GCD of 133, 896, 700, 689 Calculator

1. What is the GCD of 133, 896, 700, 689?

GCD of given numbers 133, 896, 700, 689 is 1


2. How to calculate the greatest common divisor of 133, 896, 700, 689?

We can find the highest common divisor of 133, 896, 700, 689 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 133, 896, 700, 689 i.e 1.


3. How can I use the GCD of 133, 896, 700, 689Calculator?

Out the numbers 133, 896, 700, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.