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GCD of 782, 790, 488, 149 Calculator

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


Online GCD Calculator is useful to find the GCD of 782, 790, 488, 149 quickly. Get the easiest ways to solve the greatest common divisor of 782, 790, 488, 149 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 782, 790, 488, 149 with Factoring?

Given Input numbers are 782, 790, 488, 149

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149


GCD of numbers is the greatest common divisor

So, the GCD (782, 790, 488, 149) = 1.

Find GCD of 782, 790, 488, 149 using Prime Factorization

Given numbers are 782, 790, 488, 149

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 790 are 2 x 5 x 79

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 149 are 149

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

Steps to Calculate GCD of 782, 790, 488, 149 using LCM Formula

Given numbers are 782, 790, 488, 149

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

Apply this formula for all numbers.

Step1:

LCM(782, 790) = 308890

GCD(782, 790) = ( 782 x 790 ) / 308890

= 782 / 790

= 782


Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2


Step3:

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

= 2 / 149

= 2


So, Greatest Common Divisor of 782, 790, 488, 149 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 782, 790, 488, 149

Given numbers are 782, 790, 488, 149
The greatest common divisor of numbers 782, 790, 488, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 790, 488, 149 is 1.

FAQs on GCD of 782, 790, 488, 149 Calculator

1. What is the GCD of 782, 790, 488, 149?

GCD of given numbers 782, 790, 488, 149 is 1


2. How to calculate the greatest common divisor of 782, 790, 488, 149?

We can find the highest common divisor of 782, 790, 488, 149 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 782, 790, 488, 149 i.e 1.


3. How can I use the GCD of 782, 790, 488, 149Calculator?

Out the numbers 782, 790, 488, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.