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GCD of 821, 448, 976, 742 Calculator

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


Online GCD Calculator is useful to find the GCD of 821, 448, 976, 742 quickly. Get the easiest ways to solve the greatest common divisor of 821, 448, 976, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 448, 976, 742 with Factoring?

Given Input numbers are 821, 448, 976, 742

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (821, 448, 976, 742) = 1.

Find GCD of 821, 448, 976, 742 using Prime Factorization

Given numbers are 821, 448, 976, 742

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 821, 448, 976, 742 using LCM Formula

Given numbers are 821, 448, 976, 742

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

Apply this formula for all numbers.

Step1:

LCM(821, 448) = 367808

GCD(821, 448) = ( 821 x 448 ) / 367808

= 821 / 448

= 821


Step2:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1


Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1


So, Greatest Common Divisor of 821, 448, 976, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 448, 976, 742

Given numbers are 821, 448, 976, 742
The greatest common divisor of numbers 821, 448, 976, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 448, 976, 742 is 1.

FAQs on GCD of 821, 448, 976, 742 Calculator

1. What is the GCD of 821, 448, 976, 742?

GCD of given numbers 821, 448, 976, 742 is 1


2. How to calculate the greatest common divisor of 821, 448, 976, 742?

We can find the highest common divisor of 821, 448, 976, 742 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 821, 448, 976, 742 i.e 1.


3. How can I use the GCD of 821, 448, 976, 742Calculator?

Out the numbers 821, 448, 976, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.