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GCD of 994, 315, 155, 560 Calculator

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


Online GCD Calculator is useful to find the GCD of 994, 315, 155, 560 quickly. Get the easiest ways to solve the greatest common divisor of 994, 315, 155, 560 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 315, 155, 560 with Factoring?

Given Input numbers are 994, 315, 155, 560

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560


GCD of numbers is the greatest common divisor

So, the GCD (994, 315, 155, 560) = 1.

Find GCD of 994, 315, 155, 560 using Prime Factorization

Given numbers are 994, 315, 155, 560

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 155 are 5 x 31

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 994, 315, 155, 560 using LCM Formula

Given numbers are 994, 315, 155, 560

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

Apply this formula for all numbers.

Step1:

LCM(994, 315) = 44730

GCD(994, 315) = ( 994 x 315 ) / 44730

= 994 / 315

= 994


Step2:

LCM(7, 155) = 1085

GCD(7, 155) = ( 7 x 155 ) / 1085

= 7 / 155

= 7


Step3:

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

= 1 / 560

= 1


So, Greatest Common Divisor of 994, 315, 155, 560 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 315, 155, 560

Given numbers are 994, 315, 155, 560
The greatest common divisor of numbers 994, 315, 155, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 315, 155, 560 is 1.

FAQs on GCD of 994, 315, 155, 560 Calculator

1. What is the GCD of 994, 315, 155, 560?

GCD of given numbers 994, 315, 155, 560 is 1


2. How to calculate the greatest common divisor of 994, 315, 155, 560?

We can find the highest common divisor of 994, 315, 155, 560 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 994, 315, 155, 560 i.e 1.


3. How can I use the GCD of 994, 315, 155, 560Calculator?

Out the numbers 994, 315, 155, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.