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GCD of 742, 266, 98, 725 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, 266, 98, 725 quickly. Get the easiest ways to solve the greatest common divisor of 742, 266, 98, 725 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 266, 98, 725 with Factoring?

Given Input numbers are 742, 266, 98, 725

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 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725


GCD of numbers is the greatest common divisor

So, the GCD (742, 266, 98, 725) = 1.

Find GCD of 742, 266, 98, 725 using Prime Factorization

Given numbers are 742, 266, 98, 725

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 266 are 2 x 7 x 19

Prime factors of 98 are 2 x 7 x 7

Prime factors of 725 are 5 x 5 x 29

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

Steps to Calculate GCD of 742, 266, 98, 725 using LCM Formula

Given numbers are 742, 266, 98, 725

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

Apply this formula for all numbers.

Step1:

LCM(742, 266) = 14098

GCD(742, 266) = ( 742 x 266 ) / 14098

= 742 / 266

= 742


Step2:

LCM(14, 98) = 98

GCD(14, 98) = ( 14 x 98 ) / 98

= 14 / 98

= 14


Step3:

LCM(14, 725) = 10150

GCD(14, 725) = ( 14 x 725 ) / 10150

= 14 / 725

= 14


So, Greatest Common Divisor of 742, 266, 98, 725 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 266, 98, 725

Given numbers are 742, 266, 98, 725
The greatest common divisor of numbers 742, 266, 98, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 266, 98, 725 is 1.

FAQs on GCD of 742, 266, 98, 725 Calculator

1. What is the GCD of 742, 266, 98, 725?

GCD of given numbers 742, 266, 98, 725 is 1


2. How to calculate the greatest common divisor of 742, 266, 98, 725?

We can find the highest common divisor of 742, 266, 98, 725 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, 266, 98, 725 i.e 1.


3. How can I use the GCD of 742, 266, 98, 725Calculator?

Out the numbers 742, 266, 98, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.