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GCD of 295, 142, 313, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 295, 142, 313, 698 quickly. Get the easiest ways to solve the greatest common divisor of 295, 142, 313, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 295, 142, 313, 698 with Factoring?

Given Input numbers are 295, 142, 313, 698

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

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (295, 142, 313, 698) = 1.

Find GCD of 295, 142, 313, 698 using Prime Factorization

Given numbers are 295, 142, 313, 698

The list of prime factors of all numbers are

Prime factors of 295 are 5 x 59

Prime factors of 142 are 2 x 71

Prime factors of 313 are 313

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 295, 142, 313, 698 using LCM Formula

Given numbers are 295, 142, 313, 698

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

Apply this formula for all numbers.

Step1:

LCM(295, 142) = 41890

GCD(295, 142) = ( 295 x 142 ) / 41890

= 295 / 142

= 295


Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 295, 142, 313, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 295, 142, 313, 698

Given numbers are 295, 142, 313, 698
The greatest common divisor of numbers 295, 142, 313, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 295, 142, 313, 698 is 1.

FAQs on GCD of 295, 142, 313, 698 Calculator

1. What is the GCD of 295, 142, 313, 698?

GCD of given numbers 295, 142, 313, 698 is 1


2. How to calculate the greatest common divisor of 295, 142, 313, 698?

We can find the highest common divisor of 295, 142, 313, 698 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 295, 142, 313, 698 i.e 1.


3. How can I use the GCD of 295, 142, 313, 698Calculator?

Out the numbers 295, 142, 313, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.