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GCD of 298, 840, 865, 712 Calculator

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


Online GCD Calculator is useful to find the GCD of 298, 840, 865, 712 quickly. Get the easiest ways to solve the greatest common divisor of 298, 840, 865, 712 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 298, 840, 865, 712 with Factoring?

Given Input numbers are 298, 840, 865, 712

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712


GCD of numbers is the greatest common divisor

So, the GCD (298, 840, 865, 712) = 1.

Find GCD of 298, 840, 865, 712 using Prime Factorization

Given numbers are 298, 840, 865, 712

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 865 are 5 x 173

Prime factors of 712 are 2 x 2 x 2 x 89

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

Steps to Calculate GCD of 298, 840, 865, 712 using LCM Formula

Given numbers are 298, 840, 865, 712

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

Apply this formula for all numbers.

Step1:

LCM(298, 840) = 125160

GCD(298, 840) = ( 298 x 840 ) / 125160

= 298 / 840

= 298


Step2:

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

= 2 / 865

= 2


Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1


So, Greatest Common Divisor of 298, 840, 865, 712 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 298, 840, 865, 712

Given numbers are 298, 840, 865, 712
The greatest common divisor of numbers 298, 840, 865, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 840, 865, 712 is 1.

FAQs on GCD of 298, 840, 865, 712 Calculator

1. What is the GCD of 298, 840, 865, 712?

GCD of given numbers 298, 840, 865, 712 is 1


2. How to calculate the greatest common divisor of 298, 840, 865, 712?

We can find the highest common divisor of 298, 840, 865, 712 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 298, 840, 865, 712 i.e 1.


3. How can I use the GCD of 298, 840, 865, 712Calculator?

Out the numbers 298, 840, 865, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.