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GCD of 702, 448, 353, 111 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 448, 353, 111 quickly. Get the easiest ways to solve the greatest common divisor of 702, 448, 353, 111 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 448, 353, 111 with Factoring?

Given Input numbers are 702, 448, 353, 111

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111


GCD of numbers is the greatest common divisor

So, the GCD (702, 448, 353, 111) = 1.

Find GCD of 702, 448, 353, 111 using Prime Factorization

Given numbers are 702, 448, 353, 111

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 353 are 353

Prime factors of 111 are 3 x 37

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

Steps to Calculate GCD of 702, 448, 353, 111 using LCM Formula

Given numbers are 702, 448, 353, 111

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

Apply this formula for all numbers.

Step1:

LCM(702, 448) = 157248

GCD(702, 448) = ( 702 x 448 ) / 157248

= 702 / 448

= 702


Step2:

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

= 2 / 353

= 2


Step3:

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

= 1 / 111

= 1


So, Greatest Common Divisor of 702, 448, 353, 111 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 448, 353, 111

Given numbers are 702, 448, 353, 111
The greatest common divisor of numbers 702, 448, 353, 111 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 448, 353, 111 is 1.

FAQs on GCD of 702, 448, 353, 111 Calculator

1. What is the GCD of 702, 448, 353, 111?

GCD of given numbers 702, 448, 353, 111 is 1


2. How to calculate the greatest common divisor of 702, 448, 353, 111?

We can find the highest common divisor of 702, 448, 353, 111 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 702, 448, 353, 111 i.e 1.


3. How can I use the GCD of 702, 448, 353, 111Calculator?

Out the numbers 702, 448, 353, 111 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.