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GCD of 945, 889, 689, 380 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 889, 689, 380 quickly. Get the easiest ways to solve the greatest common divisor of 945, 889, 689, 380 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 889, 689, 380 with Factoring?

Given Input numbers are 945, 889, 689, 380

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380


GCD of numbers is the greatest common divisor

So, the GCD (945, 889, 689, 380) = 1.

Find GCD of 945, 889, 689, 380 using Prime Factorization

Given numbers are 945, 889, 689, 380

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 889 are 7 x 127

Prime factors of 689 are 13 x 53

Prime factors of 380 are 2 x 2 x 5 x 19

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

Steps to Calculate GCD of 945, 889, 689, 380 using LCM Formula

Given numbers are 945, 889, 689, 380

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

Apply this formula for all numbers.

Step1:

LCM(945, 889) = 120015

GCD(945, 889) = ( 945 x 889 ) / 120015

= 945 / 889

= 945


Step2:

LCM(7, 689) = 4823

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

= 7 / 689

= 7


Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1


So, Greatest Common Divisor of 945, 889, 689, 380 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 889, 689, 380

Given numbers are 945, 889, 689, 380
The greatest common divisor of numbers 945, 889, 689, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 889, 689, 380 is 1.

FAQs on GCD of 945, 889, 689, 380 Calculator

1. What is the GCD of 945, 889, 689, 380?

GCD of given numbers 945, 889, 689, 380 is 1


2. How to calculate the greatest common divisor of 945, 889, 689, 380?

We can find the highest common divisor of 945, 889, 689, 380 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 945, 889, 689, 380 i.e 1.


3. How can I use the GCD of 945, 889, 689, 380Calculator?

Out the numbers 945, 889, 689, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.