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GCD of 264, 235, 692, 743 Calculator

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


Online GCD Calculator is useful to find the GCD of 264, 235, 692, 743 quickly. Get the easiest ways to solve the greatest common divisor of 264, 235, 692, 743 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 235, 692, 743 with Factoring?

Given Input numbers are 264, 235, 692, 743

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743


GCD of numbers is the greatest common divisor

So, the GCD (264, 235, 692, 743) = 1.

Find GCD of 264, 235, 692, 743 using Prime Factorization

Given numbers are 264, 235, 692, 743

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 235 are 5 x 47

Prime factors of 692 are 2 x 2 x 173

Prime factors of 743 are 743

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

Steps to Calculate GCD of 264, 235, 692, 743 using LCM Formula

Given numbers are 264, 235, 692, 743

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

Apply this formula for all numbers.

Step1:

LCM(264, 235) = 62040

GCD(264, 235) = ( 264 x 235 ) / 62040

= 264 / 235

= 264


Step2:

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

= 1 / 692

= 1


Step3:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1


So, Greatest Common Divisor of 264, 235, 692, 743 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 235, 692, 743

Given numbers are 264, 235, 692, 743
The greatest common divisor of numbers 264, 235, 692, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 235, 692, 743 is 1.

FAQs on GCD of 264, 235, 692, 743 Calculator

1. What is the GCD of 264, 235, 692, 743?

GCD of given numbers 264, 235, 692, 743 is 1


2. How to calculate the greatest common divisor of 264, 235, 692, 743?

We can find the highest common divisor of 264, 235, 692, 743 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 264, 235, 692, 743 i.e 1.


3. How can I use the GCD of 264, 235, 692, 743Calculator?

Out the numbers 264, 235, 692, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.