GCD of 145, 340, 100, 522 Calculator

Given Input numbers are 145, 340, 100, 522

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (145, 340, 100, 522) = 1.

Given numbers are 145, 340, 100, 522

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

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

Given numbers are 145, 340, 100, 522

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

Apply this formula for all numbers.

Step1:

LCM(145, 340) = 9860

GCD(145, 340) = ( 145 x 340 ) / 9860

= 145 / 340

= 145

Step2:

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

= 5 / 100

= 5

Step3:

LCM(5, 522) = 2610

GCD(5, 522) = ( 5 x 522 ) / 2610

= 5 / 522

= 5

So, Greatest Common Divisor of 145, 340, 100, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 510, 978, 358
• GCD of 190, 907, 768, 216
• GCD of 491, 344, 886, 537
• GCD of 141, 125, 185, 595
• GCD of 963, 602, 758, 173

Given numbers are 145, 340, 100, 522
The greatest common divisor of numbers 145, 340, 100, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 340, 100, 522 is 1.

1. What is the GCD of 145, 340, 100, 522?

GCD of given numbers 145, 340, 100, 522 is 1

2. How to calculate the greatest common divisor of 145, 340, 100, 522?

We can find the highest common divisor of 145, 340, 100, 522 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, 340, 100, 522 i.e 1.

3. How can I use the GCD of 145, 340, 100, 522Calculator?

Out the numbers 145, 340, 100, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.