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GCD of 997, 851, 258, 142 Calculator

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


Online GCD Calculator is useful to find the GCD of 997, 851, 258, 142 quickly. Get the easiest ways to solve the greatest common divisor of 997, 851, 258, 142 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 997, 851, 258, 142 with Factoring?

Given Input numbers are 997, 851, 258, 142

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

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142


GCD of numbers is the greatest common divisor

So, the GCD (997, 851, 258, 142) = 1.

Find GCD of 997, 851, 258, 142 using Prime Factorization

Given numbers are 997, 851, 258, 142

The list of prime factors of all numbers are

Prime factors of 997 are 997

Prime factors of 851 are 23 x 37

Prime factors of 258 are 2 x 3 x 43

Prime factors of 142 are 2 x 71

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

Steps to Calculate GCD of 997, 851, 258, 142 using LCM Formula

Given numbers are 997, 851, 258, 142

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

Apply this formula for all numbers.

Step1:

LCM(997, 851) = 848447

GCD(997, 851) = ( 997 x 851 ) / 848447

= 997 / 851

= 997


Step2:

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

= 1 / 258

= 1


Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1


So, Greatest Common Divisor of 997, 851, 258, 142 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 997, 851, 258, 142

Given numbers are 997, 851, 258, 142
The greatest common divisor of numbers 997, 851, 258, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 997, 851, 258, 142 is 1.

FAQs on GCD of 997, 851, 258, 142 Calculator

1. What is the GCD of 997, 851, 258, 142?

GCD of given numbers 997, 851, 258, 142 is 1


2. How to calculate the greatest common divisor of 997, 851, 258, 142?

We can find the highest common divisor of 997, 851, 258, 142 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 997, 851, 258, 142 i.e 1.


3. How can I use the GCD of 997, 851, 258, 142Calculator?

Out the numbers 997, 851, 258, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.