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GCD of 782, 609, 732, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 782, 609, 732, 967 quickly. Get the easiest ways to solve the greatest common divisor of 782, 609, 732, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 782, 609, 732, 967 with Factoring?

Given Input numbers are 782, 609, 732, 967

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (782, 609, 732, 967) = 1.

Find GCD of 782, 609, 732, 967 using Prime Factorization

Given numbers are 782, 609, 732, 967

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 609 are 3 x 7 x 29

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 967 are 967

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

Steps to Calculate GCD of 782, 609, 732, 967 using LCM Formula

Given numbers are 782, 609, 732, 967

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

Apply this formula for all numbers.

Step1:

LCM(782, 609) = 476238

GCD(782, 609) = ( 782 x 609 ) / 476238

= 782 / 609

= 782


Step2:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1


Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1


So, Greatest Common Divisor of 782, 609, 732, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 782, 609, 732, 967

Given numbers are 782, 609, 732, 967
The greatest common divisor of numbers 782, 609, 732, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 609, 732, 967 is 1.

FAQs on GCD of 782, 609, 732, 967 Calculator

1. What is the GCD of 782, 609, 732, 967?

GCD of given numbers 782, 609, 732, 967 is 1


2. How to calculate the greatest common divisor of 782, 609, 732, 967?

We can find the highest common divisor of 782, 609, 732, 967 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 782, 609, 732, 967 i.e 1.


3. How can I use the GCD of 782, 609, 732, 967Calculator?

Out the numbers 782, 609, 732, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.