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GCD of 840, 704, 309, 247 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, 704, 309, 247 quickly. Get the easiest ways to solve the greatest common divisor of 840, 704, 309, 247 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 704, 309, 247 with Factoring?

Given Input numbers are 840, 704, 309, 247

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247


GCD of numbers is the greatest common divisor

So, the GCD (840, 704, 309, 247) = 1.

Find GCD of 840, 704, 309, 247 using Prime Factorization

Given numbers are 840, 704, 309, 247

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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 309 are 3 x 103

Prime factors of 247 are 13 x 19

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 840, 704, 309, 247 using LCM Formula

Given numbers are 840, 704, 309, 247

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

Apply this formula for all numbers.

Step1:

LCM(840, 704) = 73920

GCD(840, 704) = ( 840 x 704 ) / 73920

= 840 / 704

= 840


Step2:

LCM(8, 309) = 2472

GCD(8, 309) = ( 8 x 309 ) / 2472

= 8 / 309

= 8


Step3:

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

= 1 / 247

= 1


So, Greatest Common Divisor of 840, 704, 309, 247 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 704, 309, 247

Given numbers are 840, 704, 309, 247
The greatest common divisor of numbers 840, 704, 309, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 704, 309, 247 is 1.

FAQs on GCD of 840, 704, 309, 247 Calculator

1. What is the GCD of 840, 704, 309, 247?

GCD of given numbers 840, 704, 309, 247 is 1


2. How to calculate the greatest common divisor of 840, 704, 309, 247?

We can find the highest common divisor of 840, 704, 309, 247 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, 704, 309, 247 i.e 1.


3. How can I use the GCD of 840, 704, 309, 247Calculator?

Out the numbers 840, 704, 309, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.