LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 870, 100, 788 Calculator

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


Online GCD Calculator is useful to find the GCD of 870, 100, 788 quickly. Get the easiest ways to solve the greatest common divisor of 870, 100, 788 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 870, 100, 788 with Factoring?

Given Input numbers are 870, 100, 788

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788


GCD of numbers is the greatest common divisor

So, the GCD (870, 100, 788) = 2.

Find GCD of 870, 100, 788 using Prime Factorization

Given numbers are 870, 100, 788

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 21

Therefore, GCD of 870, 100, 788 is 2.

Steps to Calculate GCD of 870, 100, 788 using LCM Formula

Given numbers are 870, 100, 788

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

Apply this formula for all numbers.

Step1:

LCM(870, 100) = 8700

GCD(870, 100) = ( 870 x 100 ) / 8700

= 870 / 100

= 870


Step2:

LCM(10, 788) = 3940

GCD(10, 788) = ( 10 x 788 ) / 3940

= 10 / 788

= 10


So, Greatest Common Divisor of 870, 100, 788 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 870, 100, 788

Given numbers are 870, 100, 788
The greatest common divisor of numbers 870, 100, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 100, 788 is 2.

FAQs on GCD of 870, 100, 788 Calculator

1. What is the GCD of 870, 100, 788?

GCD of given numbers 870, 100, 788 is 2


2. How to calculate the greatest common divisor of 870, 100, 788?

We can find the highest common divisor of 870, 100, 788 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 870, 100, 788 i.e 2.


3. How can I use the GCD of 870, 100, 788Calculator?

Out the numbers 870, 100, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.