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GCD of 741, 749, 669, 735 Calculator

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


Online GCD Calculator is useful to find the GCD of 741, 749, 669, 735 quickly. Get the easiest ways to solve the greatest common divisor of 741, 749, 669, 735 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 741, 749, 669, 735 with Factoring?

Given Input numbers are 741, 749, 669, 735

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735


GCD of numbers is the greatest common divisor

So, the GCD (741, 749, 669, 735) = 1.

Find GCD of 741, 749, 669, 735 using Prime Factorization

Given numbers are 741, 749, 669, 735

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 749 are 7 x 107

Prime factors of 669 are 3 x 223

Prime factors of 735 are 3 x 5 x 7 x 7

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

Steps to Calculate GCD of 741, 749, 669, 735 using LCM Formula

Given numbers are 741, 749, 669, 735

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

Apply this formula for all numbers.

Step1:

LCM(741, 749) = 555009

GCD(741, 749) = ( 741 x 749 ) / 555009

= 741 / 749

= 741


Step2:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1


Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1


So, Greatest Common Divisor of 741, 749, 669, 735 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 741, 749, 669, 735

Given numbers are 741, 749, 669, 735
The greatest common divisor of numbers 741, 749, 669, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 749, 669, 735 is 1.

FAQs on GCD of 741, 749, 669, 735 Calculator

1. What is the GCD of 741, 749, 669, 735?

GCD of given numbers 741, 749, 669, 735 is 1


2. How to calculate the greatest common divisor of 741, 749, 669, 735?

We can find the highest common divisor of 741, 749, 669, 735 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 741, 749, 669, 735 i.e 1.


3. How can I use the GCD of 741, 749, 669, 735Calculator?

Out the numbers 741, 749, 669, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.