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GCD of 965, 217, 214, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 965, 217, 214, 672 quickly. Get the easiest ways to solve the greatest common divisor of 965, 217, 214, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 965, 217, 214, 672 with Factoring?

Given Input numbers are 965, 217, 214, 672

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

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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


GCD of numbers is the greatest common divisor

So, the GCD (965, 217, 214, 672) = 1.

Find GCD of 965, 217, 214, 672 using Prime Factorization

Given numbers are 965, 217, 214, 672

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

Prime factors of 217 are 7 x 31

Prime factors of 214 are 2 x 107

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

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

Steps to Calculate GCD of 965, 217, 214, 672 using LCM Formula

Given numbers are 965, 217, 214, 672

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

Apply this formula for all numbers.

Step1:

LCM(965, 217) = 209405

GCD(965, 217) = ( 965 x 217 ) / 209405

= 965 / 217

= 965


Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1


Step3:

LCM(1, 672) = 672

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

= 1 / 672

= 1


So, Greatest Common Divisor of 965, 217, 214, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 965, 217, 214, 672

Given numbers are 965, 217, 214, 672
The greatest common divisor of numbers 965, 217, 214, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 217, 214, 672 is 1.

FAQs on GCD of 965, 217, 214, 672 Calculator

1. What is the GCD of 965, 217, 214, 672?

GCD of given numbers 965, 217, 214, 672 is 1


2. How to calculate the greatest common divisor of 965, 217, 214, 672?

We can find the highest common divisor of 965, 217, 214, 672 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 965, 217, 214, 672 i.e 1.


3. How can I use the GCD of 965, 217, 214, 672Calculator?

Out the numbers 965, 217, 214, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.