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GCD of 734, 748, 434, 567 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 748, 434, 567 quickly. Get the easiest ways to solve the greatest common divisor of 734, 748, 434, 567 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 748, 434, 567 with Factoring?

Given Input numbers are 734, 748, 434, 567

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567


GCD of numbers is the greatest common divisor

So, the GCD (734, 748, 434, 567) = 1.

Find GCD of 734, 748, 434, 567 using Prime Factorization

Given numbers are 734, 748, 434, 567

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 734, 748, 434, 567 using LCM Formula

Given numbers are 734, 748, 434, 567

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

Apply this formula for all numbers.

Step1:

LCM(734, 748) = 274516

GCD(734, 748) = ( 734 x 748 ) / 274516

= 734 / 748

= 734


Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2


Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2


So, Greatest Common Divisor of 734, 748, 434, 567 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 748, 434, 567

Given numbers are 734, 748, 434, 567
The greatest common divisor of numbers 734, 748, 434, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 748, 434, 567 is 1.

FAQs on GCD of 734, 748, 434, 567 Calculator

1. What is the GCD of 734, 748, 434, 567?

GCD of given numbers 734, 748, 434, 567 is 1


2. How to calculate the greatest common divisor of 734, 748, 434, 567?

We can find the highest common divisor of 734, 748, 434, 567 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 734, 748, 434, 567 i.e 1.


3. How can I use the GCD of 734, 748, 434, 567Calculator?

Out the numbers 734, 748, 434, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.