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GCD of 958, 541, 584, 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 958, 541, 584, 742 quickly. Get the easiest ways to solve the greatest common divisor of 958, 541, 584, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 541, 584, 742 with Factoring?

Given Input numbers are 958, 541, 584, 742

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 541 :

The positive integer divisors of 541 that completely divides 541 are.

1, 541

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 (958, 541, 584, 742) = 1.

Find GCD of 958, 541, 584, 742 using Prime Factorization

Given numbers are 958, 541, 584, 742

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 541 are 541

Prime factors of 584 are 2 x 2 x 2 x 73

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 958, 541, 584, 742 using LCM Formula

Given numbers are 958, 541, 584, 742

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

Apply this formula for all numbers.

Step1:

LCM(958, 541) = 518278

GCD(958, 541) = ( 958 x 541 ) / 518278

= 958 / 541

= 958


Step2:

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

= 1 / 584

= 1


Step3:

LCM(1, 742) = 742

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

= 1 / 742

= 1


So, Greatest Common Divisor of 958, 541, 584, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 541, 584, 742

Given numbers are 958, 541, 584, 742
The greatest common divisor of numbers 958, 541, 584, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 541, 584, 742 is 1.

FAQs on GCD of 958, 541, 584, 742 Calculator

1. What is the GCD of 958, 541, 584, 742?

GCD of given numbers 958, 541, 584, 742 is 1


2. How to calculate the greatest common divisor of 958, 541, 584, 742?

We can find the highest common divisor of 958, 541, 584, 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 958, 541, 584, 742 i.e 1.


3. How can I use the GCD of 958, 541, 584, 742Calculator?

Out the numbers 958, 541, 584, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.