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GCD of 120, 787, 146, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 787, 146, 998 quickly. Get the easiest ways to solve the greatest common divisor of 120, 787, 146, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 787, 146, 998 with Factoring?

Given Input numbers are 120, 787, 146, 998

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (120, 787, 146, 998) = 1.

Find GCD of 120, 787, 146, 998 using Prime Factorization

Given numbers are 120, 787, 146, 998

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 787 are 787

Prime factors of 146 are 2 x 73

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 120, 787, 146, 998 using LCM Formula

Given numbers are 120, 787, 146, 998

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

Apply this formula for all numbers.

Step1:

LCM(120, 787) = 94440

GCD(120, 787) = ( 120 x 787 ) / 94440

= 120 / 787

= 120


Step2:

LCM(1, 146) = 146

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

= 1 / 146

= 1


Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


So, Greatest Common Divisor of 120, 787, 146, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 787, 146, 998

Given numbers are 120, 787, 146, 998
The greatest common divisor of numbers 120, 787, 146, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 787, 146, 998 is 1.

FAQs on GCD of 120, 787, 146, 998 Calculator

1. What is the GCD of 120, 787, 146, 998?

GCD of given numbers 120, 787, 146, 998 is 1


2. How to calculate the greatest common divisor of 120, 787, 146, 998?

We can find the highest common divisor of 120, 787, 146, 998 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 120, 787, 146, 998 i.e 1.


3. How can I use the GCD of 120, 787, 146, 998Calculator?

Out the numbers 120, 787, 146, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.