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GCD of 825, 744, 685, 426 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 744, 685, 426 quickly. Get the easiest ways to solve the greatest common divisor of 825, 744, 685, 426 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 744, 685, 426 with Factoring?

Given Input numbers are 825, 744, 685, 426

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 685 :

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

1, 5, 137, 685

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426


GCD of numbers is the greatest common divisor

So, the GCD (825, 744, 685, 426) = 1.

Find GCD of 825, 744, 685, 426 using Prime Factorization

Given numbers are 825, 744, 685, 426

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 685 are 5 x 137

Prime factors of 426 are 2 x 3 x 71

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

Steps to Calculate GCD of 825, 744, 685, 426 using LCM Formula

Given numbers are 825, 744, 685, 426

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

Apply this formula for all numbers.

Step1:

LCM(825, 744) = 204600

GCD(825, 744) = ( 825 x 744 ) / 204600

= 825 / 744

= 825


Step2:

LCM(3, 685) = 2055

GCD(3, 685) = ( 3 x 685 ) / 2055

= 3 / 685

= 3


Step3:

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

= 1 / 426

= 1


So, Greatest Common Divisor of 825, 744, 685, 426 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 744, 685, 426

Given numbers are 825, 744, 685, 426
The greatest common divisor of numbers 825, 744, 685, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 744, 685, 426 is 1.

FAQs on GCD of 825, 744, 685, 426 Calculator

1. What is the GCD of 825, 744, 685, 426?

GCD of given numbers 825, 744, 685, 426 is 1


2. How to calculate the greatest common divisor of 825, 744, 685, 426?

We can find the highest common divisor of 825, 744, 685, 426 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 825, 744, 685, 426 i.e 1.


3. How can I use the GCD of 825, 744, 685, 426Calculator?

Out the numbers 825, 744, 685, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.