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GCD of 840, 525, 687, 270 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 525, 687, 270 quickly. Get the easiest ways to solve the greatest common divisor of 840, 525, 687, 270 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 525, 687, 270 with Factoring?

Given Input numbers are 840, 525, 687, 270

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

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 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270


GCD of numbers is the greatest common divisor

So, the GCD (840, 525, 687, 270) = 3.

Find GCD of 840, 525, 687, 270 using Prime Factorization

Given numbers are 840, 525, 687, 270

The list of prime factors of all numbers are

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

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 687 are 3 x 229

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 840, 525, 687, 270 is 3.

Steps to Calculate GCD of 840, 525, 687, 270 using LCM Formula

Given numbers are 840, 525, 687, 270

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

Apply this formula for all numbers.

Step1:

LCM(840, 525) = 4200

GCD(840, 525) = ( 840 x 525 ) / 4200

= 840 / 525

= 840


Step2:

LCM(105, 687) = 24045

GCD(105, 687) = ( 105 x 687 ) / 24045

= 105 / 687

= 105


Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3


So, Greatest Common Divisor of 840, 525, 687, 270 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 525, 687, 270

Given numbers are 840, 525, 687, 270
The greatest common divisor of numbers 840, 525, 687, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 525, 687, 270 is 3.

FAQs on GCD of 840, 525, 687, 270 Calculator

1. What is the GCD of 840, 525, 687, 270?

GCD of given numbers 840, 525, 687, 270 is 3


2. How to calculate the greatest common divisor of 840, 525, 687, 270?

We can find the highest common divisor of 840, 525, 687, 270 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 840, 525, 687, 270 i.e 3.


3. How can I use the GCD of 840, 525, 687, 270Calculator?

Out the numbers 840, 525, 687, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.