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GCD of 746, 490, 770, 796 Calculator

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


Online GCD Calculator is useful to find the GCD of 746, 490, 770, 796 quickly. Get the easiest ways to solve the greatest common divisor of 746, 490, 770, 796 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 746, 490, 770, 796 with Factoring?

Given Input numbers are 746, 490, 770, 796

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (746, 490, 770, 796) = 2.

Find GCD of 746, 490, 770, 796 using Prime Factorization

Given numbers are 746, 490, 770, 796

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 490 are 2 x 5 x 7 x 7

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

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 21

Therefore, GCD of 746, 490, 770, 796 is 2.

Steps to Calculate GCD of 746, 490, 770, 796 using LCM Formula

Given numbers are 746, 490, 770, 796

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

Apply this formula for all numbers.

Step1:

LCM(746, 490) = 182770

GCD(746, 490) = ( 746 x 490 ) / 182770

= 746 / 490

= 746


Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2


Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2


So, Greatest Common Divisor of 746, 490, 770, 796 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 746, 490, 770, 796

Given numbers are 746, 490, 770, 796
The greatest common divisor of numbers 746, 490, 770, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 490, 770, 796 is 2.

FAQs on GCD of 746, 490, 770, 796 Calculator

1. What is the GCD of 746, 490, 770, 796?

GCD of given numbers 746, 490, 770, 796 is 2


2. How to calculate the greatest common divisor of 746, 490, 770, 796?

We can find the highest common divisor of 746, 490, 770, 796 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 746, 490, 770, 796 i.e 2.


3. How can I use the GCD of 746, 490, 770, 796Calculator?

Out the numbers 746, 490, 770, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.