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GCD of 385, 364, 147, 687 Calculator

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


Online GCD Calculator is useful to find the GCD of 385, 364, 147, 687 quickly. Get the easiest ways to solve the greatest common divisor of 385, 364, 147, 687 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 364, 147, 687 with Factoring?

Given Input numbers are 385, 364, 147, 687

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687


GCD of numbers is the greatest common divisor

So, the GCD (385, 364, 147, 687) = 1.

Find GCD of 385, 364, 147, 687 using Prime Factorization

Given numbers are 385, 364, 147, 687

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 147 are 3 x 7 x 7

Prime factors of 687 are 3 x 229

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

Steps to Calculate GCD of 385, 364, 147, 687 using LCM Formula

Given numbers are 385, 364, 147, 687

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

Apply this formula for all numbers.

Step1:

LCM(385, 364) = 20020

GCD(385, 364) = ( 385 x 364 ) / 20020

= 385 / 364

= 385


Step2:

LCM(7, 147) = 147

GCD(7, 147) = ( 7 x 147 ) / 147

= 7 / 147

= 7


Step3:

LCM(7, 687) = 4809

GCD(7, 687) = ( 7 x 687 ) / 4809

= 7 / 687

= 7


So, Greatest Common Divisor of 385, 364, 147, 687 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 364, 147, 687

Given numbers are 385, 364, 147, 687
The greatest common divisor of numbers 385, 364, 147, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 364, 147, 687 is 1.

FAQs on GCD of 385, 364, 147, 687 Calculator

1. What is the GCD of 385, 364, 147, 687?

GCD of given numbers 385, 364, 147, 687 is 1


2. How to calculate the greatest common divisor of 385, 364, 147, 687?

We can find the highest common divisor of 385, 364, 147, 687 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 385, 364, 147, 687 i.e 1.


3. How can I use the GCD of 385, 364, 147, 687Calculator?

Out the numbers 385, 364, 147, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.