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GCD of 154, 706, 341, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 154, 706, 341, 820 quickly. Get the easiest ways to solve the greatest common divisor of 154, 706, 341, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 154, 706, 341, 820 with Factoring?

Given Input numbers are 154, 706, 341, 820

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (154, 706, 341, 820) = 1.

Find GCD of 154, 706, 341, 820 using Prime Factorization

Given numbers are 154, 706, 341, 820

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 706 are 2 x 353

Prime factors of 341 are 11 x 31

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 154, 706, 341, 820 using LCM Formula

Given numbers are 154, 706, 341, 820

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

Apply this formula for all numbers.

Step1:

LCM(154, 706) = 54362

GCD(154, 706) = ( 154 x 706 ) / 54362

= 154 / 706

= 154


Step2:

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

= 2 / 341

= 2


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 154, 706, 341, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 154, 706, 341, 820

Given numbers are 154, 706, 341, 820
The greatest common divisor of numbers 154, 706, 341, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 706, 341, 820 is 1.

FAQs on GCD of 154, 706, 341, 820 Calculator

1. What is the GCD of 154, 706, 341, 820?

GCD of given numbers 154, 706, 341, 820 is 1


2. How to calculate the greatest common divisor of 154, 706, 341, 820?

We can find the highest common divisor of 154, 706, 341, 820 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 154, 706, 341, 820 i.e 1.


3. How can I use the GCD of 154, 706, 341, 820Calculator?

Out the numbers 154, 706, 341, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.