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GCD of 959, 802, 221, 253 Calculator

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


Online GCD Calculator is useful to find the GCD of 959, 802, 221, 253 quickly. Get the easiest ways to solve the greatest common divisor of 959, 802, 221, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 959, 802, 221, 253 with Factoring?

Given Input numbers are 959, 802, 221, 253

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

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (959, 802, 221, 253) = 1.

Find GCD of 959, 802, 221, 253 using Prime Factorization

Given numbers are 959, 802, 221, 253

The list of prime factors of all numbers are

Prime factors of 959 are 7 x 137

Prime factors of 802 are 2 x 401

Prime factors of 221 are 13 x 17

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 959, 802, 221, 253 using LCM Formula

Given numbers are 959, 802, 221, 253

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

Apply this formula for all numbers.

Step1:

LCM(959, 802) = 769118

GCD(959, 802) = ( 959 x 802 ) / 769118

= 959 / 802

= 959


Step2:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 959, 802, 221, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 959, 802, 221, 253

Given numbers are 959, 802, 221, 253
The greatest common divisor of numbers 959, 802, 221, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 959, 802, 221, 253 is 1.

FAQs on GCD of 959, 802, 221, 253 Calculator

1. What is the GCD of 959, 802, 221, 253?

GCD of given numbers 959, 802, 221, 253 is 1


2. How to calculate the greatest common divisor of 959, 802, 221, 253?

We can find the highest common divisor of 959, 802, 221, 253 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 959, 802, 221, 253 i.e 1.


3. How can I use the GCD of 959, 802, 221, 253Calculator?

Out the numbers 959, 802, 221, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.