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GCD of 496, 884, 776, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 884, 776, 961 quickly. Get the easiest ways to solve the greatest common divisor of 496, 884, 776, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 884, 776, 961 with Factoring?

Given Input numbers are 496, 884, 776, 961

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

Divisors of 496 :

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

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

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (496, 884, 776, 961) = 1.

Find GCD of 496, 884, 776, 961 using Prime Factorization

Given numbers are 496, 884, 776, 961

The list of prime factors of all numbers are

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

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 496, 884, 776, 961 using LCM Formula

Given numbers are 496, 884, 776, 961

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

Apply this formula for all numbers.

Step1:

LCM(496, 884) = 109616

GCD(496, 884) = ( 496 x 884 ) / 109616

= 496 / 884

= 496


Step2:

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

= 4 / 776

= 4


Step3:

LCM(4, 961) = 3844

GCD(4, 961) = ( 4 x 961 ) / 3844

= 4 / 961

= 4


So, Greatest Common Divisor of 496, 884, 776, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 884, 776, 961

Given numbers are 496, 884, 776, 961
The greatest common divisor of numbers 496, 884, 776, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 884, 776, 961 is 1.

FAQs on GCD of 496, 884, 776, 961 Calculator

1. What is the GCD of 496, 884, 776, 961?

GCD of given numbers 496, 884, 776, 961 is 1


2. How to calculate the greatest common divisor of 496, 884, 776, 961?

We can find the highest common divisor of 496, 884, 776, 961 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 496, 884, 776, 961 i.e 1.


3. How can I use the GCD of 496, 884, 776, 961Calculator?

Out the numbers 496, 884, 776, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.