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GCD of 816, 739, 678, 840 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 739, 678, 840 quickly. Get the easiest ways to solve the greatest common divisor of 816, 739, 678, 840 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 739, 678, 840 with Factoring?

Given Input numbers are 816, 739, 678, 840

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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


GCD of numbers is the greatest common divisor

So, the GCD (816, 739, 678, 840) = 1.

Find GCD of 816, 739, 678, 840 using Prime Factorization

Given numbers are 816, 739, 678, 840

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 739 are 739

Prime factors of 678 are 2 x 3 x 113

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

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

Steps to Calculate GCD of 816, 739, 678, 840 using LCM Formula

Given numbers are 816, 739, 678, 840

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

Apply this formula for all numbers.

Step1:

LCM(816, 739) = 603024

GCD(816, 739) = ( 816 x 739 ) / 603024

= 816 / 739

= 816


Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1


Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1


So, Greatest Common Divisor of 816, 739, 678, 840 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 739, 678, 840

Given numbers are 816, 739, 678, 840
The greatest common divisor of numbers 816, 739, 678, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 739, 678, 840 is 1.

FAQs on GCD of 816, 739, 678, 840 Calculator

1. What is the GCD of 816, 739, 678, 840?

GCD of given numbers 816, 739, 678, 840 is 1


2. How to calculate the greatest common divisor of 816, 739, 678, 840?

We can find the highest common divisor of 816, 739, 678, 840 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 816, 739, 678, 840 i.e 1.


3. How can I use the GCD of 816, 739, 678, 840Calculator?

Out the numbers 816, 739, 678, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.