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GCD of 802, 505, 240, 761 Calculator

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


Online GCD Calculator is useful to find the GCD of 802, 505, 240, 761 quickly. Get the easiest ways to solve the greatest common divisor of 802, 505, 240, 761 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 802, 505, 240, 761 with Factoring?

Given Input numbers are 802, 505, 240, 761

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761


GCD of numbers is the greatest common divisor

So, the GCD (802, 505, 240, 761) = 1.

Find GCD of 802, 505, 240, 761 using Prime Factorization

Given numbers are 802, 505, 240, 761

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 505 are 5 x 101

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 761 are 761

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

Steps to Calculate GCD of 802, 505, 240, 761 using LCM Formula

Given numbers are 802, 505, 240, 761

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

Apply this formula for all numbers.

Step1:

LCM(802, 505) = 405010

GCD(802, 505) = ( 802 x 505 ) / 405010

= 802 / 505

= 802


Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


Step3:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1


So, Greatest Common Divisor of 802, 505, 240, 761 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 802, 505, 240, 761

Given numbers are 802, 505, 240, 761
The greatest common divisor of numbers 802, 505, 240, 761 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 505, 240, 761 is 1.

FAQs on GCD of 802, 505, 240, 761 Calculator

1. What is the GCD of 802, 505, 240, 761?

GCD of given numbers 802, 505, 240, 761 is 1


2. How to calculate the greatest common divisor of 802, 505, 240, 761?

We can find the highest common divisor of 802, 505, 240, 761 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 802, 505, 240, 761 i.e 1.


3. How can I use the GCD of 802, 505, 240, 761Calculator?

Out the numbers 802, 505, 240, 761 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.