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GCD of 742, 680, 792, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 680, 792, 775 quickly. Get the easiest ways to solve the greatest common divisor of 742, 680, 792, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 680, 792, 775 with Factoring?

Given Input numbers are 742, 680, 792, 775

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (742, 680, 792, 775) = 1.

Find GCD of 742, 680, 792, 775 using Prime Factorization

Given numbers are 742, 680, 792, 775

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 742, 680, 792, 775 using LCM Formula

Given numbers are 742, 680, 792, 775

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

Apply this formula for all numbers.

Step1:

LCM(742, 680) = 252280

GCD(742, 680) = ( 742 x 680 ) / 252280

= 742 / 680

= 742


Step2:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


Step3:

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

= 2 / 775

= 2


So, Greatest Common Divisor of 742, 680, 792, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 680, 792, 775

Given numbers are 742, 680, 792, 775
The greatest common divisor of numbers 742, 680, 792, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 680, 792, 775 is 1.

FAQs on GCD of 742, 680, 792, 775 Calculator

1. What is the GCD of 742, 680, 792, 775?

GCD of given numbers 742, 680, 792, 775 is 1


2. How to calculate the greatest common divisor of 742, 680, 792, 775?

We can find the highest common divisor of 742, 680, 792, 775 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 742, 680, 792, 775 i.e 1.


3. How can I use the GCD of 742, 680, 792, 775Calculator?

Out the numbers 742, 680, 792, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.