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GCD of 156, 141, 462, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 156, 141, 462, 343 quickly. Get the easiest ways to solve the greatest common divisor of 156, 141, 462, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 156, 141, 462, 343 with Factoring?

Given Input numbers are 156, 141, 462, 343

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (156, 141, 462, 343) = 1.

Find GCD of 156, 141, 462, 343 using Prime Factorization

Given numbers are 156, 141, 462, 343

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 141 are 3 x 47

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 156, 141, 462, 343 using LCM Formula

Given numbers are 156, 141, 462, 343

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

Apply this formula for all numbers.

Step1:

LCM(156, 141) = 7332

GCD(156, 141) = ( 156 x 141 ) / 7332

= 156 / 141

= 156


Step2:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3


Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3


So, Greatest Common Divisor of 156, 141, 462, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 156, 141, 462, 343

Given numbers are 156, 141, 462, 343
The greatest common divisor of numbers 156, 141, 462, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 141, 462, 343 is 1.

FAQs on GCD of 156, 141, 462, 343 Calculator

1. What is the GCD of 156, 141, 462, 343?

GCD of given numbers 156, 141, 462, 343 is 1


2. How to calculate the greatest common divisor of 156, 141, 462, 343?

We can find the highest common divisor of 156, 141, 462, 343 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 156, 141, 462, 343 i.e 1.


3. How can I use the GCD of 156, 141, 462, 343Calculator?

Out the numbers 156, 141, 462, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.