LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 207, 553, 758, 742 Calculator

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


Online GCD Calculator is useful to find the GCD of 207, 553, 758, 742 quickly. Get the easiest ways to solve the greatest common divisor of 207, 553, 758, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 207, 553, 758, 742 with Factoring?

Given Input numbers are 207, 553, 758, 742

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 742 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (207, 553, 758, 742) = 1.

Find GCD of 207, 553, 758, 742 using Prime Factorization

Given numbers are 207, 553, 758, 742

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

Prime factors of 553 are 7 x 79

Prime factors of 758 are 2 x 379

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 207, 553, 758, 742 using LCM Formula

Given numbers are 207, 553, 758, 742

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

Apply this formula for all numbers.

Step1:

LCM(207, 553) = 114471

GCD(207, 553) = ( 207 x 553 ) / 114471

= 207 / 553

= 207


Step2:

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

= 1 / 758

= 1


Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1


So, Greatest Common Divisor of 207, 553, 758, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 207, 553, 758, 742

Given numbers are 207, 553, 758, 742
The greatest common divisor of numbers 207, 553, 758, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 553, 758, 742 is 1.

FAQs on GCD of 207, 553, 758, 742 Calculator

1. What is the GCD of 207, 553, 758, 742?

GCD of given numbers 207, 553, 758, 742 is 1


2. How to calculate the greatest common divisor of 207, 553, 758, 742?

We can find the highest common divisor of 207, 553, 758, 742 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 207, 553, 758, 742 i.e 1.


3. How can I use the GCD of 207, 553, 758, 742Calculator?

Out the numbers 207, 553, 758, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.