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 987, 299, 72, 146 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, 299, 72, 146 quickly. Get the easiest ways to solve the greatest common divisor of 987, 299, 72, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 987, 299, 72, 146 with Factoring?

Given Input numbers are 987, 299, 72, 146

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 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 146 :

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

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (987, 299, 72, 146) = 1.

Find GCD of 987, 299, 72, 146 using Prime Factorization

Given numbers are 987, 299, 72, 146

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 299 are 13 x 23

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 987, 299, 72, 146 using LCM Formula

Given numbers are 987, 299, 72, 146

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

Apply this formula for all numbers.

Step1:

LCM(987, 299) = 295113

GCD(987, 299) = ( 987 x 299 ) / 295113

= 987 / 299

= 987


Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1


Step3:

LCM(1, 146) = 146

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

= 1 / 146

= 1


So, Greatest Common Divisor of 987, 299, 72, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 987, 299, 72, 146

Given numbers are 987, 299, 72, 146
The greatest common divisor of numbers 987, 299, 72, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 299, 72, 146 is 1.

FAQs on GCD of 987, 299, 72, 146 Calculator

1. What is the GCD of 987, 299, 72, 146?

GCD of given numbers 987, 299, 72, 146 is 1


2. How to calculate the greatest common divisor of 987, 299, 72, 146?

We can find the highest common divisor of 987, 299, 72, 146 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, 299, 72, 146 i.e 1.


3. How can I use the GCD of 987, 299, 72, 146Calculator?

Out the numbers 987, 299, 72, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.