GCD of 345, 900, 145, 991 Calculator

Given Input numbers are 345, 900, 145, 991

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

Divisors of 345 :

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

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 145 :

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

1, 5, 29, 145

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (345, 900, 145, 991) = 1.

Given numbers are 345, 900, 145, 991

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 145 are 5 x 29

Prime factors of 991 are 991

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

Given numbers are 345, 900, 145, 991

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

Apply this formula for all numbers.

Step1:

LCM(345, 900) = 20700

GCD(345, 900) = ( 345 x 900 ) / 20700

= 345 / 900

= 345

Step2:

LCM(15, 145) = 435

GCD(15, 145) = ( 15 x 145 ) / 435

= 15 / 145

= 15

Step3:

LCM(5, 991) = 4955

GCD(5, 991) = ( 5 x 991 ) / 4955

= 5 / 991

= 5

So, Greatest Common Divisor of 345, 900, 145, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 278, 265, 816
• GCD of 441, 388, 813, 821
• GCD of 337, 249, 772, 908
• GCD of 885, 901, 131, 825
• GCD of 308, 751, 228, 153

Given numbers are 345, 900, 145, 991
The greatest common divisor of numbers 345, 900, 145, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 900, 145, 991 is 1.

1. What is the GCD of 345, 900, 145, 991?

GCD of given numbers 345, 900, 145, 991 is 1

2. How to calculate the greatest common divisor of 345, 900, 145, 991?

We can find the highest common divisor of 345, 900, 145, 991 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 345, 900, 145, 991 i.e 1.

3. How can I use the GCD of 345, 900, 145, 991Calculator?

Out the numbers 345, 900, 145, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.