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GCD of 691, 585, 140, 374 Calculator

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


Online GCD Calculator is useful to find the GCD of 691, 585, 140, 374 quickly. Get the easiest ways to solve the greatest common divisor of 691, 585, 140, 374 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 691, 585, 140, 374 with Factoring?

Given Input numbers are 691, 585, 140, 374

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374


GCD of numbers is the greatest common divisor

So, the GCD (691, 585, 140, 374) = 1.

Find GCD of 691, 585, 140, 374 using Prime Factorization

Given numbers are 691, 585, 140, 374

The list of prime factors of all numbers are

Prime factors of 691 are 691

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 374 are 2 x 11 x 17

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

Steps to Calculate GCD of 691, 585, 140, 374 using LCM Formula

Given numbers are 691, 585, 140, 374

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

Apply this formula for all numbers.

Step1:

LCM(691, 585) = 404235

GCD(691, 585) = ( 691 x 585 ) / 404235

= 691 / 585

= 691


Step2:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1


Step3:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1


So, Greatest Common Divisor of 691, 585, 140, 374 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 691, 585, 140, 374

Given numbers are 691, 585, 140, 374
The greatest common divisor of numbers 691, 585, 140, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 585, 140, 374 is 1.

FAQs on GCD of 691, 585, 140, 374 Calculator

1. What is the GCD of 691, 585, 140, 374?

GCD of given numbers 691, 585, 140, 374 is 1


2. How to calculate the greatest common divisor of 691, 585, 140, 374?

We can find the highest common divisor of 691, 585, 140, 374 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 691, 585, 140, 374 i.e 1.


3. How can I use the GCD of 691, 585, 140, 374Calculator?

Out the numbers 691, 585, 140, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.