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GCD of 280, 682, 698, 296 Calculator

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


Online GCD Calculator is useful to find the GCD of 280, 682, 698, 296 quickly. Get the easiest ways to solve the greatest common divisor of 280, 682, 698, 296 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 280, 682, 698, 296 with Factoring?

Given Input numbers are 280, 682, 698, 296

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296


GCD of numbers is the greatest common divisor

So, the GCD (280, 682, 698, 296) = 2.

Find GCD of 280, 682, 698, 296 using Prime Factorization

Given numbers are 280, 682, 698, 296

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 682 are 2 x 11 x 31

Prime factors of 698 are 2 x 349

Prime factors of 296 are 2 x 2 x 2 x 37

The highest common occurrence is 21

Therefore, GCD of 280, 682, 698, 296 is 2.

Steps to Calculate GCD of 280, 682, 698, 296 using LCM Formula

Given numbers are 280, 682, 698, 296

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

Apply this formula for all numbers.

Step1:

LCM(280, 682) = 95480

GCD(280, 682) = ( 280 x 682 ) / 95480

= 280 / 682

= 280


Step2:

LCM(2, 698) = 698

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

= 2 / 698

= 2


Step3:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2


So, Greatest Common Divisor of 280, 682, 698, 296 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 280, 682, 698, 296

Given numbers are 280, 682, 698, 296
The greatest common divisor of numbers 280, 682, 698, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 682, 698, 296 is 2.

FAQs on GCD of 280, 682, 698, 296 Calculator

1. What is the GCD of 280, 682, 698, 296?

GCD of given numbers 280, 682, 698, 296 is 2


2. How to calculate the greatest common divisor of 280, 682, 698, 296?

We can find the highest common divisor of 280, 682, 698, 296 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 280, 682, 698, 296 i.e 2.


3. How can I use the GCD of 280, 682, 698, 296Calculator?

Out the numbers 280, 682, 698, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.