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GCD of 370, 986, 687, 766 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, 986, 687, 766 quickly. Get the easiest ways to solve the greatest common divisor of 370, 986, 687, 766 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 370, 986, 687, 766 with Factoring?

Given Input numbers are 370, 986, 687, 766

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766


GCD of numbers is the greatest common divisor

So, the GCD (370, 986, 687, 766) = 1.

Find GCD of 370, 986, 687, 766 using Prime Factorization

Given numbers are 370, 986, 687, 766

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 986 are 2 x 17 x 29

Prime factors of 687 are 3 x 229

Prime factors of 766 are 2 x 383

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

Steps to Calculate GCD of 370, 986, 687, 766 using LCM Formula

Given numbers are 370, 986, 687, 766

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

Apply this formula for all numbers.

Step1:

LCM(370, 986) = 182410

GCD(370, 986) = ( 370 x 986 ) / 182410

= 370 / 986

= 370


Step2:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2


Step3:

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

= 1 / 766

= 1


So, Greatest Common Divisor of 370, 986, 687, 766 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 370, 986, 687, 766

Given numbers are 370, 986, 687, 766
The greatest common divisor of numbers 370, 986, 687, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 986, 687, 766 is 1.

FAQs on GCD of 370, 986, 687, 766 Calculator

1. What is the GCD of 370, 986, 687, 766?

GCD of given numbers 370, 986, 687, 766 is 1


2. How to calculate the greatest common divisor of 370, 986, 687, 766?

We can find the highest common divisor of 370, 986, 687, 766 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, 986, 687, 766 i.e 1.


3. How can I use the GCD of 370, 986, 687, 766Calculator?

Out the numbers 370, 986, 687, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.