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GCD of 744, 920, 685, 842 Calculator

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


Online GCD Calculator is useful to find the GCD of 744, 920, 685, 842 quickly. Get the easiest ways to solve the greatest common divisor of 744, 920, 685, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 920, 685, 842 with Factoring?

Given Input numbers are 744, 920, 685, 842

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (744, 920, 685, 842) = 1.

Find GCD of 744, 920, 685, 842 using Prime Factorization

Given numbers are 744, 920, 685, 842

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 685 are 5 x 137

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 744, 920, 685, 842 using LCM Formula

Given numbers are 744, 920, 685, 842

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

Apply this formula for all numbers.

Step1:

LCM(744, 920) = 85560

GCD(744, 920) = ( 744 x 920 ) / 85560

= 744 / 920

= 744


Step2:

LCM(8, 685) = 5480

GCD(8, 685) = ( 8 x 685 ) / 5480

= 8 / 685

= 8


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 744, 920, 685, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 920, 685, 842

Given numbers are 744, 920, 685, 842
The greatest common divisor of numbers 744, 920, 685, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 920, 685, 842 is 1.

FAQs on GCD of 744, 920, 685, 842 Calculator

1. What is the GCD of 744, 920, 685, 842?

GCD of given numbers 744, 920, 685, 842 is 1


2. How to calculate the greatest common divisor of 744, 920, 685, 842?

We can find the highest common divisor of 744, 920, 685, 842 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 744, 920, 685, 842 i.e 1.


3. How can I use the GCD of 744, 920, 685, 842Calculator?

Out the numbers 744, 920, 685, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.