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GCD of 744, 749, 340, 124 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, 749, 340, 124 quickly. Get the easiest ways to solve the greatest common divisor of 744, 749, 340, 124 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 749, 340, 124 with Factoring?

Given Input numbers are 744, 749, 340, 124

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124


GCD of numbers is the greatest common divisor

So, the GCD (744, 749, 340, 124) = 1.

Find GCD of 744, 749, 340, 124 using Prime Factorization

Given numbers are 744, 749, 340, 124

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 749 are 7 x 107

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 124 are 2 x 2 x 31

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

Steps to Calculate GCD of 744, 749, 340, 124 using LCM Formula

Given numbers are 744, 749, 340, 124

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

Apply this formula for all numbers.

Step1:

LCM(744, 749) = 557256

GCD(744, 749) = ( 744 x 749 ) / 557256

= 744 / 749

= 744


Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


Step3:

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

= 1 / 124

= 1


So, Greatest Common Divisor of 744, 749, 340, 124 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 749, 340, 124

Given numbers are 744, 749, 340, 124
The greatest common divisor of numbers 744, 749, 340, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 749, 340, 124 is 1.

FAQs on GCD of 744, 749, 340, 124 Calculator

1. What is the GCD of 744, 749, 340, 124?

GCD of given numbers 744, 749, 340, 124 is 1


2. How to calculate the greatest common divisor of 744, 749, 340, 124?

We can find the highest common divisor of 744, 749, 340, 124 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, 749, 340, 124 i.e 1.


3. How can I use the GCD of 744, 749, 340, 124Calculator?

Out the numbers 744, 749, 340, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.