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GCD of 617, 985, 149, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 617, 985, 149, 343 quickly. Get the easiest ways to solve the greatest common divisor of 617, 985, 149, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 617, 985, 149, 343 with Factoring?

Given Input numbers are 617, 985, 149, 343

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

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 985 :

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

1, 5, 197, 985

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (617, 985, 149, 343) = 1.

Find GCD of 617, 985, 149, 343 using Prime Factorization

Given numbers are 617, 985, 149, 343

The list of prime factors of all numbers are

Prime factors of 617 are 617

Prime factors of 985 are 5 x 197

Prime factors of 149 are 149

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 617, 985, 149, 343 using LCM Formula

Given numbers are 617, 985, 149, 343

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

Apply this formula for all numbers.

Step1:

LCM(617, 985) = 607745

GCD(617, 985) = ( 617 x 985 ) / 607745

= 617 / 985

= 617


Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1


Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


So, Greatest Common Divisor of 617, 985, 149, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 617, 985, 149, 343

Given numbers are 617, 985, 149, 343
The greatest common divisor of numbers 617, 985, 149, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 617, 985, 149, 343 is 1.

FAQs on GCD of 617, 985, 149, 343 Calculator

1. What is the GCD of 617, 985, 149, 343?

GCD of given numbers 617, 985, 149, 343 is 1


2. How to calculate the greatest common divisor of 617, 985, 149, 343?

We can find the highest common divisor of 617, 985, 149, 343 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 617, 985, 149, 343 i.e 1.


3. How can I use the GCD of 617, 985, 149, 343Calculator?

Out the numbers 617, 985, 149, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.