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GCD of 770, 720, 414, 726 Calculator

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


Online GCD Calculator is useful to find the GCD of 770, 720, 414, 726 quickly. Get the easiest ways to solve the greatest common divisor of 770, 720, 414, 726 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 770, 720, 414, 726 with Factoring?

Given Input numbers are 770, 720, 414, 726

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726


GCD of numbers is the greatest common divisor

So, the GCD (770, 720, 414, 726) = 2.

Find GCD of 770, 720, 414, 726 using Prime Factorization

Given numbers are 770, 720, 414, 726

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 726 are 2 x 3 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 770, 720, 414, 726 is 2.

Steps to Calculate GCD of 770, 720, 414, 726 using LCM Formula

Given numbers are 770, 720, 414, 726

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

Apply this formula for all numbers.

Step1:

LCM(770, 720) = 55440

GCD(770, 720) = ( 770 x 720 ) / 55440

= 770 / 720

= 770


Step2:

LCM(10, 414) = 2070

GCD(10, 414) = ( 10 x 414 ) / 2070

= 10 / 414

= 10


Step3:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2


So, Greatest Common Divisor of 770, 720, 414, 726 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 770, 720, 414, 726

Given numbers are 770, 720, 414, 726
The greatest common divisor of numbers 770, 720, 414, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 720, 414, 726 is 2.

FAQs on GCD of 770, 720, 414, 726 Calculator

1. What is the GCD of 770, 720, 414, 726?

GCD of given numbers 770, 720, 414, 726 is 2


2. How to calculate the greatest common divisor of 770, 720, 414, 726?

We can find the highest common divisor of 770, 720, 414, 726 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 770, 720, 414, 726 i.e 2.


3. How can I use the GCD of 770, 720, 414, 726Calculator?

Out the numbers 770, 720, 414, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.