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GCD of 748, 545, 382, 703 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 545, 382, 703 quickly. Get the easiest ways to solve the greatest common divisor of 748, 545, 382, 703 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 545, 382, 703 with Factoring?

Given Input numbers are 748, 545, 382, 703

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703


GCD of numbers is the greatest common divisor

So, the GCD (748, 545, 382, 703) = 1.

Find GCD of 748, 545, 382, 703 using Prime Factorization

Given numbers are 748, 545, 382, 703

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 545 are 5 x 109

Prime factors of 382 are 2 x 191

Prime factors of 703 are 19 x 37

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

Steps to Calculate GCD of 748, 545, 382, 703 using LCM Formula

Given numbers are 748, 545, 382, 703

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

Apply this formula for all numbers.

Step1:

LCM(748, 545) = 407660

GCD(748, 545) = ( 748 x 545 ) / 407660

= 748 / 545

= 748


Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


Step3:

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

= 1 / 703

= 1


So, Greatest Common Divisor of 748, 545, 382, 703 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 545, 382, 703

Given numbers are 748, 545, 382, 703
The greatest common divisor of numbers 748, 545, 382, 703 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 545, 382, 703 is 1.

FAQs on GCD of 748, 545, 382, 703 Calculator

1. What is the GCD of 748, 545, 382, 703?

GCD of given numbers 748, 545, 382, 703 is 1


2. How to calculate the greatest common divisor of 748, 545, 382, 703?

We can find the highest common divisor of 748, 545, 382, 703 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 748, 545, 382, 703 i.e 1.


3. How can I use the GCD of 748, 545, 382, 703Calculator?

Out the numbers 748, 545, 382, 703 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.