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GCD of 840, 436, 734, 760 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, 436, 734, 760 quickly. Get the easiest ways to solve the greatest common divisor of 840, 436, 734, 760 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 436, 734, 760 with Factoring?

Given Input numbers are 840, 436, 734, 760

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760


GCD of numbers is the greatest common divisor

So, the GCD (840, 436, 734, 760) = 2.

Find GCD of 840, 436, 734, 760 using Prime Factorization

Given numbers are 840, 436, 734, 760

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 436 are 2 x 2 x 109

Prime factors of 734 are 2 x 367

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 21

Therefore, GCD of 840, 436, 734, 760 is 2.

Steps to Calculate GCD of 840, 436, 734, 760 using LCM Formula

Given numbers are 840, 436, 734, 760

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

Apply this formula for all numbers.

Step1:

LCM(840, 436) = 91560

GCD(840, 436) = ( 840 x 436 ) / 91560

= 840 / 436

= 840


Step2:

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

= 4 / 734

= 4


Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2


So, Greatest Common Divisor of 840, 436, 734, 760 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 436, 734, 760

Given numbers are 840, 436, 734, 760
The greatest common divisor of numbers 840, 436, 734, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 436, 734, 760 is 2.

FAQs on GCD of 840, 436, 734, 760 Calculator

1. What is the GCD of 840, 436, 734, 760?

GCD of given numbers 840, 436, 734, 760 is 2


2. How to calculate the greatest common divisor of 840, 436, 734, 760?

We can find the highest common divisor of 840, 436, 734, 760 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, 436, 734, 760 i.e 2.


3. How can I use the GCD of 840, 436, 734, 760Calculator?

Out the numbers 840, 436, 734, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.