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GCD of 394, 624, 958, 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 394, 624, 958, 698 quickly. Get the easiest ways to solve the greatest common divisor of 394, 624, 958, 698 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 394, 624, 958, 698 with Factoring?

Given Input numbers are 394, 624, 958, 698

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

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 (394, 624, 958, 698) = 2.

Find GCD of 394, 624, 958, 698 using Prime Factorization

Given numbers are 394, 624, 958, 698

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 958 are 2 x 479

Prime factors of 698 are 2 x 349

The highest common occurrence is 21

Therefore, GCD of 394, 624, 958, 698 is 2.

Steps to Calculate GCD of 394, 624, 958, 698 using LCM Formula

Given numbers are 394, 624, 958, 698

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

Apply this formula for all numbers.

Step1:

LCM(394, 624) = 122928

GCD(394, 624) = ( 394 x 624 ) / 122928

= 394 / 624

= 394


Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2


Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2


So, Greatest Common Divisor of 394, 624, 958, 698 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 394, 624, 958, 698

Given numbers are 394, 624, 958, 698
The greatest common divisor of numbers 394, 624, 958, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 624, 958, 698 is 2.

FAQs on GCD of 394, 624, 958, 698 Calculator

1. What is the GCD of 394, 624, 958, 698?

GCD of given numbers 394, 624, 958, 698 is 2


2. How to calculate the greatest common divisor of 394, 624, 958, 698?

We can find the highest common divisor of 394, 624, 958, 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 394, 624, 958, 698 i.e 2.


3. How can I use the GCD of 394, 624, 958, 698Calculator?

Out the numbers 394, 624, 958, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.