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 742, 167, 702, 413 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, 167, 702, 413 quickly. Get the easiest ways to solve the greatest common divisor of 742, 167, 702, 413 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 167, 702, 413 with Factoring?

Given Input numbers are 742, 167, 702, 413

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 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413


GCD of numbers is the greatest common divisor

So, the GCD (742, 167, 702, 413) = 1.

Find GCD of 742, 167, 702, 413 using Prime Factorization

Given numbers are 742, 167, 702, 413

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 167 are 167

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 413 are 7 x 59

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

Steps to Calculate GCD of 742, 167, 702, 413 using LCM Formula

Given numbers are 742, 167, 702, 413

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

Apply this formula for all numbers.

Step1:

LCM(742, 167) = 123914

GCD(742, 167) = ( 742 x 167 ) / 123914

= 742 / 167

= 742


Step2:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


Step3:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1


So, Greatest Common Divisor of 742, 167, 702, 413 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 167, 702, 413

Given numbers are 742, 167, 702, 413
The greatest common divisor of numbers 742, 167, 702, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 167, 702, 413 is 1.

FAQs on GCD of 742, 167, 702, 413 Calculator

1. What is the GCD of 742, 167, 702, 413?

GCD of given numbers 742, 167, 702, 413 is 1


2. How to calculate the greatest common divisor of 742, 167, 702, 413?

We can find the highest common divisor of 742, 167, 702, 413 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, 167, 702, 413 i.e 1.


3. How can I use the GCD of 742, 167, 702, 413Calculator?

Out the numbers 742, 167, 702, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.