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GCD of 720, 343, 264, 262 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, 343, 264, 262 quickly. Get the easiest ways to solve the greatest common divisor of 720, 343, 264, 262 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 343, 264, 262 with Factoring?

Given Input numbers are 720, 343, 264, 262

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262


GCD of numbers is the greatest common divisor

So, the GCD (720, 343, 264, 262) = 1.

Find GCD of 720, 343, 264, 262 using Prime Factorization

Given numbers are 720, 343, 264, 262

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 343 are 7 x 7 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 262 are 2 x 131

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 720, 343, 264, 262 using LCM Formula

Given numbers are 720, 343, 264, 262

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

Apply this formula for all numbers.

Step1:

LCM(720, 343) = 246960

GCD(720, 343) = ( 720 x 343 ) / 246960

= 720 / 343

= 720


Step2:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1


Step3:

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

= 1 / 262

= 1


So, Greatest Common Divisor of 720, 343, 264, 262 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 343, 264, 262

Given numbers are 720, 343, 264, 262
The greatest common divisor of numbers 720, 343, 264, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 343, 264, 262 is 1.

FAQs on GCD of 720, 343, 264, 262 Calculator

1. What is the GCD of 720, 343, 264, 262?

GCD of given numbers 720, 343, 264, 262 is 1


2. How to calculate the greatest common divisor of 720, 343, 264, 262?

We can find the highest common divisor of 720, 343, 264, 262 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, 343, 264, 262 i.e 1.


3. How can I use the GCD of 720, 343, 264, 262Calculator?

Out the numbers 720, 343, 264, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.