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GCD of 343, 776, 461, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 343, 776, 461, 138 quickly. Get the easiest ways to solve the greatest common divisor of 343, 776, 461, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 776, 461, 138 with Factoring?

Given Input numbers are 343, 776, 461, 138

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (343, 776, 461, 138) = 1.

Find GCD of 343, 776, 461, 138 using Prime Factorization

Given numbers are 343, 776, 461, 138

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 461 are 461

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 343, 776, 461, 138 using LCM Formula

Given numbers are 343, 776, 461, 138

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

Apply this formula for all numbers.

Step1:

LCM(343, 776) = 266168

GCD(343, 776) = ( 343 x 776 ) / 266168

= 343 / 776

= 343


Step2:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 343, 776, 461, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 776, 461, 138

Given numbers are 343, 776, 461, 138
The greatest common divisor of numbers 343, 776, 461, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 776, 461, 138 is 1.

FAQs on GCD of 343, 776, 461, 138 Calculator

1. What is the GCD of 343, 776, 461, 138?

GCD of given numbers 343, 776, 461, 138 is 1


2. How to calculate the greatest common divisor of 343, 776, 461, 138?

We can find the highest common divisor of 343, 776, 461, 138 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 343, 776, 461, 138 i.e 1.


3. How can I use the GCD of 343, 776, 461, 138Calculator?

Out the numbers 343, 776, 461, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.