GCD of 154, 800, 521, 289 Calculator

Given Input numbers are 154, 800, 521, 289

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 289 :

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

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (154, 800, 521, 289) = 1.

Given numbers are 154, 800, 521, 289

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 521 are 521

Prime factors of 289 are 17 x 17

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

Given numbers are 154, 800, 521, 289

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

Apply this formula for all numbers.

Step1:

LCM(154, 800) = 61600

GCD(154, 800) = ( 154 x 800 ) / 61600

= 154 / 800

= 154

Step2:

LCM(2, 521) = 1042

GCD(2, 521) = ( 2 x 521 ) / 1042

= 2 / 521

= 2

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 154, 800, 521, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 943, 883, 123
• GCD of 434, 349, 841, 463
• GCD of 406, 343, 625, 996
• GCD of 519, 977, 777, 125
• GCD of 975, 378, 925, 559

Given numbers are 154, 800, 521, 289
The greatest common divisor of numbers 154, 800, 521, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 800, 521, 289 is 1.

1. What is the GCD of 154, 800, 521, 289?

GCD of given numbers 154, 800, 521, 289 is 1

2. How to calculate the greatest common divisor of 154, 800, 521, 289?

We can find the highest common divisor of 154, 800, 521, 289 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, 800, 521, 289 i.e 1.

3. How can I use the GCD of 154, 800, 521, 289Calculator?

Out the numbers 154, 800, 521, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.