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GCD of 370, 505, 685, 829 Calculator

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


Online GCD Calculator is useful to find the GCD of 370, 505, 685, 829 quickly. Get the easiest ways to solve the greatest common divisor of 370, 505, 685, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 505, 685, 829 with Factoring?

Given Input numbers are 370, 505, 685, 829

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (370, 505, 685, 829) = 1.

Find GCD of 370, 505, 685, 829 using Prime Factorization

Given numbers are 370, 505, 685, 829

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 505 are 5 x 101

Prime factors of 685 are 5 x 137

Prime factors of 829 are 829

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

Steps to Calculate GCD of 370, 505, 685, 829 using LCM Formula

Given numbers are 370, 505, 685, 829

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

Apply this formula for all numbers.

Step1:

LCM(370, 505) = 37370

GCD(370, 505) = ( 370 x 505 ) / 37370

= 370 / 505

= 370


Step2:

LCM(5, 685) = 685

GCD(5, 685) = ( 5 x 685 ) / 685

= 5 / 685

= 5


Step3:

LCM(5, 829) = 4145

GCD(5, 829) = ( 5 x 829 ) / 4145

= 5 / 829

= 5


So, Greatest Common Divisor of 370, 505, 685, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 505, 685, 829

Given numbers are 370, 505, 685, 829
The greatest common divisor of numbers 370, 505, 685, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 505, 685, 829 is 1.

FAQs on GCD of 370, 505, 685, 829 Calculator

1. What is the GCD of 370, 505, 685, 829?

GCD of given numbers 370, 505, 685, 829 is 1


2. How to calculate the greatest common divisor of 370, 505, 685, 829?

We can find the highest common divisor of 370, 505, 685, 829 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 370, 505, 685, 829 i.e 1.


3. How can I use the GCD of 370, 505, 685, 829Calculator?

Out the numbers 370, 505, 685, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.