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GCD of 342, 694, 716, 552 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 694, 716, 552 quickly. Get the easiest ways to solve the greatest common divisor of 342, 694, 716, 552 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 694, 716, 552 with Factoring?

Given Input numbers are 342, 694, 716, 552

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552


GCD of numbers is the greatest common divisor

So, the GCD (342, 694, 716, 552) = 2.

Find GCD of 342, 694, 716, 552 using Prime Factorization

Given numbers are 342, 694, 716, 552

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 694 are 2 x 347

Prime factors of 716 are 2 x 2 x 179

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 21

Therefore, GCD of 342, 694, 716, 552 is 2.

Steps to Calculate GCD of 342, 694, 716, 552 using LCM Formula

Given numbers are 342, 694, 716, 552

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

Apply this formula for all numbers.

Step1:

LCM(342, 694) = 118674

GCD(342, 694) = ( 342 x 694 ) / 118674

= 342 / 694

= 342


Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2


Step3:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2


So, Greatest Common Divisor of 342, 694, 716, 552 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 694, 716, 552

Given numbers are 342, 694, 716, 552
The greatest common divisor of numbers 342, 694, 716, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 694, 716, 552 is 2.

FAQs on GCD of 342, 694, 716, 552 Calculator

1. What is the GCD of 342, 694, 716, 552?

GCD of given numbers 342, 694, 716, 552 is 2


2. How to calculate the greatest common divisor of 342, 694, 716, 552?

We can find the highest common divisor of 342, 694, 716, 552 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 342, 694, 716, 552 i.e 2.


3. How can I use the GCD of 342, 694, 716, 552Calculator?

Out the numbers 342, 694, 716, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.