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GCD of 967, 731, 553, 496 Calculator

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


Online GCD Calculator is useful to find the GCD of 967, 731, 553, 496 quickly. Get the easiest ways to solve the greatest common divisor of 967, 731, 553, 496 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 967, 731, 553, 496 with Factoring?

Given Input numbers are 967, 731, 553, 496

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

Divisors of 967 :

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

1, 967

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496


GCD of numbers is the greatest common divisor

So, the GCD (967, 731, 553, 496) = 1.

Find GCD of 967, 731, 553, 496 using Prime Factorization

Given numbers are 967, 731, 553, 496

The list of prime factors of all numbers are

Prime factors of 967 are 967

Prime factors of 731 are 17 x 43

Prime factors of 553 are 7 x 79

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Steps to Calculate GCD of 967, 731, 553, 496 using LCM Formula

Given numbers are 967, 731, 553, 496

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

Apply this formula for all numbers.

Step1:

LCM(967, 731) = 706877

GCD(967, 731) = ( 967 x 731 ) / 706877

= 967 / 731

= 967


Step2:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1


Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1


So, Greatest Common Divisor of 967, 731, 553, 496 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 967, 731, 553, 496

Given numbers are 967, 731, 553, 496
The greatest common divisor of numbers 967, 731, 553, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 731, 553, 496 is 1.

FAQs on GCD of 967, 731, 553, 496 Calculator

1. What is the GCD of 967, 731, 553, 496?

GCD of given numbers 967, 731, 553, 496 is 1


2. How to calculate the greatest common divisor of 967, 731, 553, 496?

We can find the highest common divisor of 967, 731, 553, 496 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 967, 731, 553, 496 i.e 1.


3. How can I use the GCD of 967, 731, 553, 496Calculator?

Out the numbers 967, 731, 553, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.