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GCD of 720, 370, 942, 496 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 370, 942, 496 quickly. Get the easiest ways to solve the greatest common divisor of 720, 370, 942, 496 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 370, 942, 496 with Factoring?

Given Input numbers are 720, 370, 942, 496

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

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496


GCD of numbers is the greatest common divisor

So, the GCD (720, 370, 942, 496) = 2.

Find GCD of 720, 370, 942, 496 using Prime Factorization

Given numbers are 720, 370, 942, 496

The list of prime factors of all numbers are

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

Prime factors of 370 are 2 x 5 x 37

Prime factors of 942 are 2 x 3 x 157

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 21

Therefore, GCD of 720, 370, 942, 496 is 2.

Steps to Calculate GCD of 720, 370, 942, 496 using LCM Formula

Given numbers are 720, 370, 942, 496

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

Apply this formula for all numbers.

Step1:

LCM(720, 370) = 26640

GCD(720, 370) = ( 720 x 370 ) / 26640

= 720 / 370

= 720


Step2:

LCM(10, 942) = 4710

GCD(10, 942) = ( 10 x 942 ) / 4710

= 10 / 942

= 10


Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2


So, Greatest Common Divisor of 720, 370, 942, 496 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 370, 942, 496

Given numbers are 720, 370, 942, 496
The greatest common divisor of numbers 720, 370, 942, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 370, 942, 496 is 2.

FAQs on GCD of 720, 370, 942, 496 Calculator

1. What is the GCD of 720, 370, 942, 496?

GCD of given numbers 720, 370, 942, 496 is 2


2. How to calculate the greatest common divisor of 720, 370, 942, 496?

We can find the highest common divisor of 720, 370, 942, 496 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 720, 370, 942, 496 i.e 2.


3. How can I use the GCD of 720, 370, 942, 496Calculator?

Out the numbers 720, 370, 942, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.