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GCD of 672, 928, 448, 743 Calculator

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


Online GCD Calculator is useful to find the GCD of 672, 928, 448, 743 quickly. Get the easiest ways to solve the greatest common divisor of 672, 928, 448, 743 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 928, 448, 743 with Factoring?

Given Input numbers are 672, 928, 448, 743

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743


GCD of numbers is the greatest common divisor

So, the GCD (672, 928, 448, 743) = 1.

Find GCD of 672, 928, 448, 743 using Prime Factorization

Given numbers are 672, 928, 448, 743

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Prime factors of 743 are 743

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

Steps to Calculate GCD of 672, 928, 448, 743 using LCM Formula

Given numbers are 672, 928, 448, 743

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

Apply this formula for all numbers.

Step1:

LCM(672, 928) = 19488

GCD(672, 928) = ( 672 x 928 ) / 19488

= 672 / 928

= 672


Step2:

LCM(32, 448) = 448

GCD(32, 448) = ( 32 x 448 ) / 448

= 32 / 448

= 32


Step3:

LCM(32, 743) = 23776

GCD(32, 743) = ( 32 x 743 ) / 23776

= 32 / 743

= 32


So, Greatest Common Divisor of 672, 928, 448, 743 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 928, 448, 743

Given numbers are 672, 928, 448, 743
The greatest common divisor of numbers 672, 928, 448, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 928, 448, 743 is 1.

FAQs on GCD of 672, 928, 448, 743 Calculator

1. What is the GCD of 672, 928, 448, 743?

GCD of given numbers 672, 928, 448, 743 is 1


2. How to calculate the greatest common divisor of 672, 928, 448, 743?

We can find the highest common divisor of 672, 928, 448, 743 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 672, 928, 448, 743 i.e 1.


3. How can I use the GCD of 672, 928, 448, 743Calculator?

Out the numbers 672, 928, 448, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.