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GCD of 274, 374, 985, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 274, 374, 985, 686 quickly. Get the easiest ways to solve the greatest common divisor of 274, 374, 985, 686 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 274, 374, 985, 686 with Factoring?

Given Input numbers are 274, 374, 985, 686

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 374 :

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

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686


GCD of numbers is the greatest common divisor

So, the GCD (274, 374, 985, 686) = 1.

Find GCD of 274, 374, 985, 686 using Prime Factorization

Given numbers are 274, 374, 985, 686

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 374 are 2 x 11 x 17

Prime factors of 985 are 5 x 197

Prime factors of 686 are 2 x 7 x 7 x 7

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

Steps to Calculate GCD of 274, 374, 985, 686 using LCM Formula

Given numbers are 274, 374, 985, 686

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

Apply this formula for all numbers.

Step1:

LCM(274, 374) = 51238

GCD(274, 374) = ( 274 x 374 ) / 51238

= 274 / 374

= 274


Step2:

LCM(2, 985) = 1970

GCD(2, 985) = ( 2 x 985 ) / 1970

= 2 / 985

= 2


Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1


So, Greatest Common Divisor of 274, 374, 985, 686 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 274, 374, 985, 686

Given numbers are 274, 374, 985, 686
The greatest common divisor of numbers 274, 374, 985, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 374, 985, 686 is 1.

FAQs on GCD of 274, 374, 985, 686 Calculator

1. What is the GCD of 274, 374, 985, 686?

GCD of given numbers 274, 374, 985, 686 is 1


2. How to calculate the greatest common divisor of 274, 374, 985, 686?

We can find the highest common divisor of 274, 374, 985, 686 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 274, 374, 985, 686 i.e 1.


3. How can I use the GCD of 274, 374, 985, 686Calculator?

Out the numbers 274, 374, 985, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.