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 258, 770, 401, 144 Calculator

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


Online GCD Calculator is useful to find the GCD of 258, 770, 401, 144 quickly. Get the easiest ways to solve the greatest common divisor of 258, 770, 401, 144 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 258, 770, 401, 144 with Factoring?

Given Input numbers are 258, 770, 401, 144

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

Divisors of 258 :

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

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144


GCD of numbers is the greatest common divisor

So, the GCD (258, 770, 401, 144) = 1.

Find GCD of 258, 770, 401, 144 using Prime Factorization

Given numbers are 258, 770, 401, 144

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 401 are 401

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Steps to Calculate GCD of 258, 770, 401, 144 using LCM Formula

Given numbers are 258, 770, 401, 144

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

Apply this formula for all numbers.

Step1:

LCM(258, 770) = 99330

GCD(258, 770) = ( 258 x 770 ) / 99330

= 258 / 770

= 258


Step2:

LCM(2, 401) = 802

GCD(2, 401) = ( 2 x 401 ) / 802

= 2 / 401

= 2


Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1


So, Greatest Common Divisor of 258, 770, 401, 144 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 258, 770, 401, 144

Given numbers are 258, 770, 401, 144
The greatest common divisor of numbers 258, 770, 401, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 770, 401, 144 is 1.

FAQs on GCD of 258, 770, 401, 144 Calculator

1. What is the GCD of 258, 770, 401, 144?

GCD of given numbers 258, 770, 401, 144 is 1


2. How to calculate the greatest common divisor of 258, 770, 401, 144?

We can find the highest common divisor of 258, 770, 401, 144 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 258, 770, 401, 144 i.e 1.


3. How can I use the GCD of 258, 770, 401, 144Calculator?

Out the numbers 258, 770, 401, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.