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GCD of 802, 700, 860, 904 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, 700, 860, 904 quickly. Get the easiest ways to solve the greatest common divisor of 802, 700, 860, 904 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 700, 860, 904 with Factoring?

Given Input numbers are 802, 700, 860, 904

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904


GCD of numbers is the greatest common divisor

So, the GCD (802, 700, 860, 904) = 2.

Find GCD of 802, 700, 860, 904 using Prime Factorization

Given numbers are 802, 700, 860, 904

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 860 are 2 x 2 x 5 x 43

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 21

Therefore, GCD of 802, 700, 860, 904 is 2.

Steps to Calculate GCD of 802, 700, 860, 904 using LCM Formula

Given numbers are 802, 700, 860, 904

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

Apply this formula for all numbers.

Step1:

LCM(802, 700) = 280700

GCD(802, 700) = ( 802 x 700 ) / 280700

= 802 / 700

= 802


Step2:

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

= 2 / 860

= 2


Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2


So, Greatest Common Divisor of 802, 700, 860, 904 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 700, 860, 904

Given numbers are 802, 700, 860, 904
The greatest common divisor of numbers 802, 700, 860, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 700, 860, 904 is 2.

FAQs on GCD of 802, 700, 860, 904 Calculator

1. What is the GCD of 802, 700, 860, 904?

GCD of given numbers 802, 700, 860, 904 is 2


2. How to calculate the greatest common divisor of 802, 700, 860, 904?

We can find the highest common divisor of 802, 700, 860, 904 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, 700, 860, 904 i.e 2.


3. How can I use the GCD of 802, 700, 860, 904Calculator?

Out the numbers 802, 700, 860, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.