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GCD of 802, 710, 708, 658 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 710, 708, 658 quickly. Get the easiest ways to solve the greatest common divisor of 802, 710, 708, 658 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 710, 708, 658 with Factoring?

Given Input numbers are 802, 710, 708, 658

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658


GCD of numbers is the greatest common divisor

So, the GCD (802, 710, 708, 658) = 2.

Find GCD of 802, 710, 708, 658 using Prime Factorization

Given numbers are 802, 710, 708, 658

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 710 are 2 x 5 x 71

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 21

Therefore, GCD of 802, 710, 708, 658 is 2.

Steps to Calculate GCD of 802, 710, 708, 658 using LCM Formula

Given numbers are 802, 710, 708, 658

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

Apply this formula for all numbers.

Step1:

LCM(802, 710) = 284710

GCD(802, 710) = ( 802 x 710 ) / 284710

= 802 / 710

= 802


Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2


So, Greatest Common Divisor of 802, 710, 708, 658 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 710, 708, 658

Given numbers are 802, 710, 708, 658
The greatest common divisor of numbers 802, 710, 708, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 710, 708, 658 is 2.

FAQs on GCD of 802, 710, 708, 658 Calculator

1. What is the GCD of 802, 710, 708, 658?

GCD of given numbers 802, 710, 708, 658 is 2


2. How to calculate the greatest common divisor of 802, 710, 708, 658?

We can find the highest common divisor of 802, 710, 708, 658 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 802, 710, 708, 658 i.e 2.


3. How can I use the GCD of 802, 710, 708, 658Calculator?

Out the numbers 802, 710, 708, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.