GCD of 562, 109, 10, 345 Calculator

Given Input numbers are 562, 109, 10, 345

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (562, 109, 10, 345) = 1.

Given numbers are 562, 109, 10, 345

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 109 are 109

Prime factors of 10 are 2 x 5

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 562, 109, 10, 345

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

Apply this formula for all numbers.

Step1:

LCM(562, 109) = 61258

GCD(562, 109) = ( 562 x 109 ) / 61258

= 562 / 109

= 562

Step2:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

Step3:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

So, Greatest Common Divisor of 562, 109, 10, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 870, 90, 908
• GCD of 877, 380, 47, 518
• GCD of 712, 259, 22, 841
• GCD of 495, 814, 24, 245
• GCD of 473, 573, 14, 415

Given numbers are 562, 109, 10, 345
The greatest common divisor of numbers 562, 109, 10, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 109, 10, 345 is 1.

1. What is the GCD of 562, 109, 10, 345?

GCD of given numbers 562, 109, 10, 345 is 1

2. How to calculate the greatest common divisor of 562, 109, 10, 345?

We can find the highest common divisor of 562, 109, 10, 345 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 562, 109, 10, 345 i.e 1.

3. How can I use the GCD of 562, 109, 10, 345Calculator?

Out the numbers 562, 109, 10, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.