GCD of 145, 355, 711, 289 Calculator

Given Input numbers are 145, 355, 711, 289

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

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 (145, 355, 711, 289) = 1.

Given numbers are 145, 355, 711, 289

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 355 are 5 x 71

Prime factors of 711 are 3 x 3 x 79

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 145, 355, 711, 289

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

Apply this formula for all numbers.

Step1:

LCM(145, 355) = 10295

GCD(145, 355) = ( 145 x 355 ) / 10295

= 145 / 355

= 145

Step2:

LCM(5, 711) = 3555

GCD(5, 711) = ( 5 x 711 ) / 3555

= 5 / 711

= 5

Step3:

LCM(1, 289) = 289

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

= 1 / 289

= 1

So, Greatest Common Divisor of 145, 355, 711, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 577, 565, 428
• GCD of 863, 269, 371, 864
• GCD of 524, 916, 177, 927
• GCD of 846, 572, 169, 818
• GCD of 256, 885, 706, 879

Given numbers are 145, 355, 711, 289
The greatest common divisor of numbers 145, 355, 711, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 355, 711, 289 is 1.

1. What is the GCD of 145, 355, 711, 289?

GCD of given numbers 145, 355, 711, 289 is 1

2. How to calculate the greatest common divisor of 145, 355, 711, 289?

We can find the highest common divisor of 145, 355, 711, 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 145, 355, 711, 289 i.e 1.

3. How can I use the GCD of 145, 355, 711, 289Calculator?

Out the numbers 145, 355, 711, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.