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GCD of 945, 311, 672, 296 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, 311, 672, 296 quickly. Get the easiest ways to solve the greatest common divisor of 945, 311, 672, 296 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 311, 672, 296 with Factoring?

Given Input numbers are 945, 311, 672, 296

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296


GCD of numbers is the greatest common divisor

So, the GCD (945, 311, 672, 296) = 1.

Find GCD of 945, 311, 672, 296 using Prime Factorization

Given numbers are 945, 311, 672, 296

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 311 are 311

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 296 are 2 x 2 x 2 x 37

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

Steps to Calculate GCD of 945, 311, 672, 296 using LCM Formula

Given numbers are 945, 311, 672, 296

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

Apply this formula for all numbers.

Step1:

LCM(945, 311) = 293895

GCD(945, 311) = ( 945 x 311 ) / 293895

= 945 / 311

= 945


Step2:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1


So, Greatest Common Divisor of 945, 311, 672, 296 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 311, 672, 296

Given numbers are 945, 311, 672, 296
The greatest common divisor of numbers 945, 311, 672, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 311, 672, 296 is 1.

FAQs on GCD of 945, 311, 672, 296 Calculator

1. What is the GCD of 945, 311, 672, 296?

GCD of given numbers 945, 311, 672, 296 is 1


2. How to calculate the greatest common divisor of 945, 311, 672, 296?

We can find the highest common divisor of 945, 311, 672, 296 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, 311, 672, 296 i.e 1.


3. How can I use the GCD of 945, 311, 672, 296Calculator?

Out the numbers 945, 311, 672, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.