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GCD of 385, 748, 356 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, 748, 356 quickly. Get the easiest ways to solve the greatest common divisor of 385, 748, 356 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 748, 356 with Factoring?

Given Input numbers are 385, 748, 356

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356


GCD of numbers is the greatest common divisor

So, the GCD (385, 748, 356) = 1.

Find GCD of 385, 748, 356 using Prime Factorization

Given numbers are 385, 748, 356

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 356 are 2 x 2 x 89

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

Steps to Calculate GCD of 385, 748, 356 using LCM Formula

Given numbers are 385, 748, 356

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

Apply this formula for all numbers.

Step1:

LCM(385, 748) = 26180

GCD(385, 748) = ( 385 x 748 ) / 26180

= 385 / 748

= 385


Step2:

LCM(11, 356) = 3916

GCD(11, 356) = ( 11 x 356 ) / 3916

= 11 / 356

= 11


So, Greatest Common Divisor of 385, 748, 356 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 748, 356

Given numbers are 385, 748, 356
The greatest common divisor of numbers 385, 748, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 748, 356 is 1.

FAQs on GCD of 385, 748, 356 Calculator

1. What is the GCD of 385, 748, 356?

GCD of given numbers 385, 748, 356 is 1


2. How to calculate the greatest common divisor of 385, 748, 356?

We can find the highest common divisor of 385, 748, 356 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, 748, 356 i.e 1.


3. How can I use the GCD of 385, 748, 356Calculator?

Out the numbers 385, 748, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.