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GCD of 945, 925, 321, 994 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, 925, 321, 994 quickly. Get the easiest ways to solve the greatest common divisor of 945, 925, 321, 994 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 925, 321, 994 with Factoring?

Given Input numbers are 945, 925, 321, 994

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 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994


GCD of numbers is the greatest common divisor

So, the GCD (945, 925, 321, 994) = 1.

Find GCD of 945, 925, 321, 994 using Prime Factorization

Given numbers are 945, 925, 321, 994

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 925 are 5 x 5 x 37

Prime factors of 321 are 3 x 107

Prime factors of 994 are 2 x 7 x 71

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

Steps to Calculate GCD of 945, 925, 321, 994 using LCM Formula

Given numbers are 945, 925, 321, 994

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

Apply this formula for all numbers.

Step1:

LCM(945, 925) = 174825

GCD(945, 925) = ( 945 x 925 ) / 174825

= 945 / 925

= 945


Step2:

LCM(5, 321) = 1605

GCD(5, 321) = ( 5 x 321 ) / 1605

= 5 / 321

= 5


Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1


So, Greatest Common Divisor of 945, 925, 321, 994 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 925, 321, 994

Given numbers are 945, 925, 321, 994
The greatest common divisor of numbers 945, 925, 321, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 925, 321, 994 is 1.

FAQs on GCD of 945, 925, 321, 994 Calculator

1. What is the GCD of 945, 925, 321, 994?

GCD of given numbers 945, 925, 321, 994 is 1


2. How to calculate the greatest common divisor of 945, 925, 321, 994?

We can find the highest common divisor of 945, 925, 321, 994 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, 925, 321, 994 i.e 1.


3. How can I use the GCD of 945, 925, 321, 994Calculator?

Out the numbers 945, 925, 321, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.