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GCD of 742, 805, 527, 628 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, 805, 527, 628 quickly. Get the easiest ways to solve the greatest common divisor of 742, 805, 527, 628 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 805, 527, 628 with Factoring?

Given Input numbers are 742, 805, 527, 628

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 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628


GCD of numbers is the greatest common divisor

So, the GCD (742, 805, 527, 628) = 1.

Find GCD of 742, 805, 527, 628 using Prime Factorization

Given numbers are 742, 805, 527, 628

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 805 are 5 x 7 x 23

Prime factors of 527 are 17 x 31

Prime factors of 628 are 2 x 2 x 157

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

Steps to Calculate GCD of 742, 805, 527, 628 using LCM Formula

Given numbers are 742, 805, 527, 628

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

Apply this formula for all numbers.

Step1:

LCM(742, 805) = 85330

GCD(742, 805) = ( 742 x 805 ) / 85330

= 742 / 805

= 742


Step2:

LCM(7, 527) = 3689

GCD(7, 527) = ( 7 x 527 ) / 3689

= 7 / 527

= 7


Step3:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1


So, Greatest Common Divisor of 742, 805, 527, 628 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 805, 527, 628

Given numbers are 742, 805, 527, 628
The greatest common divisor of numbers 742, 805, 527, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 805, 527, 628 is 1.

FAQs on GCD of 742, 805, 527, 628 Calculator

1. What is the GCD of 742, 805, 527, 628?

GCD of given numbers 742, 805, 527, 628 is 1


2. How to calculate the greatest common divisor of 742, 805, 527, 628?

We can find the highest common divisor of 742, 805, 527, 628 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, 805, 527, 628 i.e 1.


3. How can I use the GCD of 742, 805, 527, 628Calculator?

Out the numbers 742, 805, 527, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.