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GCD of 840, 780, 740, 918 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, 780, 740, 918 quickly. Get the easiest ways to solve the greatest common divisor of 840, 780, 740, 918 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 780, 740, 918 with Factoring?

Given Input numbers are 840, 780, 740, 918

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (840, 780, 740, 918) = 2.

Find GCD of 840, 780, 740, 918 using Prime Factorization

Given numbers are 840, 780, 740, 918

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 840, 780, 740, 918 is 2.

Steps to Calculate GCD of 840, 780, 740, 918 using LCM Formula

Given numbers are 840, 780, 740, 918

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

Apply this formula for all numbers.

Step1:

LCM(840, 780) = 10920

GCD(840, 780) = ( 840 x 780 ) / 10920

= 840 / 780

= 840


Step2:

LCM(60, 740) = 2220

GCD(60, 740) = ( 60 x 740 ) / 2220

= 60 / 740

= 60


Step3:

LCM(20, 918) = 9180

GCD(20, 918) = ( 20 x 918 ) / 9180

= 20 / 918

= 20


So, Greatest Common Divisor of 840, 780, 740, 918 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 780, 740, 918

Given numbers are 840, 780, 740, 918
The greatest common divisor of numbers 840, 780, 740, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 780, 740, 918 is 2.

FAQs on GCD of 840, 780, 740, 918 Calculator

1. What is the GCD of 840, 780, 740, 918?

GCD of given numbers 840, 780, 740, 918 is 2


2. How to calculate the greatest common divisor of 840, 780, 740, 918?

We can find the highest common divisor of 840, 780, 740, 918 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, 780, 740, 918 i.e 2.


3. How can I use the GCD of 840, 780, 740, 918Calculator?

Out the numbers 840, 780, 740, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.