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GCD of 342, 975, 838, 662 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, 975, 838, 662 quickly. Get the easiest ways to solve the greatest common divisor of 342, 975, 838, 662 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 975, 838, 662 with Factoring?

Given Input numbers are 342, 975, 838, 662

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662


GCD of numbers is the greatest common divisor

So, the GCD (342, 975, 838, 662) = 1.

Find GCD of 342, 975, 838, 662 using Prime Factorization

Given numbers are 342, 975, 838, 662

The list of prime factors of all numbers are

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

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 838 are 2 x 419

Prime factors of 662 are 2 x 331

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

Steps to Calculate GCD of 342, 975, 838, 662 using LCM Formula

Given numbers are 342, 975, 838, 662

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

Apply this formula for all numbers.

Step1:

LCM(342, 975) = 111150

GCD(342, 975) = ( 342 x 975 ) / 111150

= 342 / 975

= 342


Step2:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3


Step3:

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

= 1 / 662

= 1


So, Greatest Common Divisor of 342, 975, 838, 662 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 975, 838, 662

Given numbers are 342, 975, 838, 662
The greatest common divisor of numbers 342, 975, 838, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 975, 838, 662 is 1.

FAQs on GCD of 342, 975, 838, 662 Calculator

1. What is the GCD of 342, 975, 838, 662?

GCD of given numbers 342, 975, 838, 662 is 1


2. How to calculate the greatest common divisor of 342, 975, 838, 662?

We can find the highest common divisor of 342, 975, 838, 662 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, 975, 838, 662 i.e 1.


3. How can I use the GCD of 342, 975, 838, 662Calculator?

Out the numbers 342, 975, 838, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.