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GCD of 672, 910, 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 672, 910, 698 quickly. Get the easiest ways to solve the greatest common divisor of 672, 910, 698 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 910, 698 with Factoring?

Given Input numbers are 672, 910, 698

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

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 (672, 910, 698) = 2.

Find GCD of 672, 910, 698 using Prime Factorization

Given numbers are 672, 910, 698

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 698 are 2 x 349

The highest common occurrence is 21

Therefore, GCD of 672, 910, 698 is 2.

Steps to Calculate GCD of 672, 910, 698 using LCM Formula

Given numbers are 672, 910, 698

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

Apply this formula for all numbers.

Step1:

LCM(672, 910) = 43680

GCD(672, 910) = ( 672 x 910 ) / 43680

= 672 / 910

= 672


Step2:

LCM(14, 698) = 4886

GCD(14, 698) = ( 14 x 698 ) / 4886

= 14 / 698

= 14


So, Greatest Common Divisor of 672, 910, 698 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 910, 698

Given numbers are 672, 910, 698
The greatest common divisor of numbers 672, 910, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 910, 698 is 2.

FAQs on GCD of 672, 910, 698 Calculator

1. What is the GCD of 672, 910, 698?

GCD of given numbers 672, 910, 698 is 2


2. How to calculate the greatest common divisor of 672, 910, 698?

We can find the highest common divisor of 672, 910, 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 672, 910, 698 i.e 2.


3. How can I use the GCD of 672, 910, 698Calculator?

Out the numbers 672, 910, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.