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 690, 940, 170 Calculator

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


Online GCD Calculator is useful to find the GCD of 690, 940, 170 quickly. Get the easiest ways to solve the greatest common divisor of 690, 940, 170 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 690, 940, 170 with Factoring?

Given Input numbers are 690, 940, 170

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170


GCD of numbers is the greatest common divisor

So, the GCD (690, 940, 170) = 10.

Find GCD of 690, 940, 170 using Prime Factorization

Given numbers are 690, 940, 170

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 21 x 51

Therefore, GCD of 690, 940, 170 is 10.

Steps to Calculate GCD of 690, 940, 170 using LCM Formula

Given numbers are 690, 940, 170

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

Apply this formula for all numbers.

Step1:

LCM(690, 940) = 64860

GCD(690, 940) = ( 690 x 940 ) / 64860

= 690 / 940

= 690


Step2:

LCM(10, 170) = 170

GCD(10, 170) = ( 10 x 170 ) / 170

= 10 / 170

= 10


So, Greatest Common Divisor of 690, 940, 170 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 690, 940, 170

Given numbers are 690, 940, 170
The greatest common divisor of numbers 690, 940, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 940, 170 is 10.

FAQs on GCD of 690, 940, 170 Calculator

1. What is the GCD of 690, 940, 170?

GCD of given numbers 690, 940, 170 is 10


2. How to calculate the greatest common divisor of 690, 940, 170?

We can find the highest common divisor of 690, 940, 170 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 690, 940, 170 i.e 10.


3. How can I use the GCD of 690, 940, 170Calculator?

Out the numbers 690, 940, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.