GCD of 289, 196, 143 Calculator

Given Input numbers are 289, 196, 143

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

GCD of numbers is the greatest common divisor

So, the GCD (289, 196, 143) = 1.

Given numbers are 289, 196, 143

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 143 are 11 x 13

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

Given numbers are 289, 196, 143

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

Apply this formula for all numbers.

Step1:

LCM(289, 196) = 56644

GCD(289, 196) = ( 289 x 196 ) / 56644

= 289 / 196

= 289

Step2:

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

= 1 / 143

= 1

So, Greatest Common Divisor of 289, 196, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 896, 536
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Given numbers are 289, 196, 143
The greatest common divisor of numbers 289, 196, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 196, 143 is 1.

1. What is the GCD of 289, 196, 143?

GCD of given numbers 289, 196, 143 is 1

2. How to calculate the greatest common divisor of 289, 196, 143?

We can find the highest common divisor of 289, 196, 143 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 289, 196, 143 i.e 1.

3. How can I use the GCD of 289, 196, 143Calculator?

Out the numbers 289, 196, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.