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GCD of 655, 840, 195, 435 Calculator

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


Online GCD Calculator is useful to find the GCD of 655, 840, 195, 435 quickly. Get the easiest ways to solve the greatest common divisor of 655, 840, 195, 435 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 655, 840, 195, 435 with Factoring?

Given Input numbers are 655, 840, 195, 435

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

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435


GCD of numbers is the greatest common divisor

So, the GCD (655, 840, 195, 435) = 5.

Find GCD of 655, 840, 195, 435 using Prime Factorization

Given numbers are 655, 840, 195, 435

The list of prime factors of all numbers are

Prime factors of 655 are 5 x 131

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 195 are 3 x 5 x 13

Prime factors of 435 are 3 x 5 x 29

The highest common occurrence is 51

Therefore, GCD of 655, 840, 195, 435 is 5.

Steps to Calculate GCD of 655, 840, 195, 435 using LCM Formula

Given numbers are 655, 840, 195, 435

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

Apply this formula for all numbers.

Step1:

LCM(655, 840) = 110040

GCD(655, 840) = ( 655 x 840 ) / 110040

= 655 / 840

= 655


Step2:

LCM(5, 195) = 195

GCD(5, 195) = ( 5 x 195 ) / 195

= 5 / 195

= 5


Step3:

LCM(5, 435) = 435

GCD(5, 435) = ( 5 x 435 ) / 435

= 5 / 435

= 5


So, Greatest Common Divisor of 655, 840, 195, 435 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 655, 840, 195, 435

Given numbers are 655, 840, 195, 435
The greatest common divisor of numbers 655, 840, 195, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 840, 195, 435 is 5.

FAQs on GCD of 655, 840, 195, 435 Calculator

1. What is the GCD of 655, 840, 195, 435?

GCD of given numbers 655, 840, 195, 435 is 5


2. How to calculate the greatest common divisor of 655, 840, 195, 435?

We can find the highest common divisor of 655, 840, 195, 435 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 655, 840, 195, 435 i.e 5.


3. How can I use the GCD of 655, 840, 195, 435Calculator?

Out the numbers 655, 840, 195, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.