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GCD of 267, 945, 77, 516 Calculator

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


Online GCD Calculator is useful to find the GCD of 267, 945, 77, 516 quickly. Get the easiest ways to solve the greatest common divisor of 267, 945, 77, 516 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 267, 945, 77, 516 with Factoring?

Given Input numbers are 267, 945, 77, 516

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516


GCD of numbers is the greatest common divisor

So, the GCD (267, 945, 77, 516) = 1.

Find GCD of 267, 945, 77, 516 using Prime Factorization

Given numbers are 267, 945, 77, 516

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

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

Prime factors of 77 are 7 x 11

Prime factors of 516 are 2 x 2 x 3 x 43

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

Steps to Calculate GCD of 267, 945, 77, 516 using LCM Formula

Given numbers are 267, 945, 77, 516

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

Apply this formula for all numbers.

Step1:

LCM(267, 945) = 84105

GCD(267, 945) = ( 267 x 945 ) / 84105

= 267 / 945

= 267


Step2:

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

= 3 / 77

= 3


Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1


So, Greatest Common Divisor of 267, 945, 77, 516 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 267, 945, 77, 516

Given numbers are 267, 945, 77, 516
The greatest common divisor of numbers 267, 945, 77, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 945, 77, 516 is 1.

FAQs on GCD of 267, 945, 77, 516 Calculator

1. What is the GCD of 267, 945, 77, 516?

GCD of given numbers 267, 945, 77, 516 is 1


2. How to calculate the greatest common divisor of 267, 945, 77, 516?

We can find the highest common divisor of 267, 945, 77, 516 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 267, 945, 77, 516 i.e 1.


3. How can I use the GCD of 267, 945, 77, 516Calculator?

Out the numbers 267, 945, 77, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.