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GCD of 987, 716, 146, 242 Calculator

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


Online GCD Calculator is useful to find the GCD of 987, 716, 146, 242 quickly. Get the easiest ways to solve the greatest common divisor of 987, 716, 146, 242 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 716, 146, 242 with Factoring?

Given Input numbers are 987, 716, 146, 242

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (987, 716, 146, 242) = 1.

Find GCD of 987, 716, 146, 242 using Prime Factorization

Given numbers are 987, 716, 146, 242

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 716 are 2 x 2 x 179

Prime factors of 146 are 2 x 73

Prime factors of 242 are 2 x 11 x 11

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

Steps to Calculate GCD of 987, 716, 146, 242 using LCM Formula

Given numbers are 987, 716, 146, 242

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

Apply this formula for all numbers.

Step1:

LCM(987, 716) = 706692

GCD(987, 716) = ( 987 x 716 ) / 706692

= 987 / 716

= 987


Step2:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


So, Greatest Common Divisor of 987, 716, 146, 242 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 716, 146, 242

Given numbers are 987, 716, 146, 242
The greatest common divisor of numbers 987, 716, 146, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 716, 146, 242 is 1.

FAQs on GCD of 987, 716, 146, 242 Calculator

1. What is the GCD of 987, 716, 146, 242?

GCD of given numbers 987, 716, 146, 242 is 1


2. How to calculate the greatest common divisor of 987, 716, 146, 242?

We can find the highest common divisor of 987, 716, 146, 242 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 987, 716, 146, 242 i.e 1.


3. How can I use the GCD of 987, 716, 146, 242Calculator?

Out the numbers 987, 716, 146, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.